CoCalc -- t-groups.out

GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap4r8 / pkg / carat / carat-2.1b1 / tables / qcatalog / dim6 / dir.2-2;2-2;1;1 / t-groups.out
⁵⁶⁰⁹⁶¹ views
LogTo("t-groups.log");
RequirePackage("carat");
names := [];
GROUPS := [];
R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2813");
P1 := Group(R.generators);
Append(names,["ordnung.12/(2)^2(6)^4/words.group.2813"]);
Append(GROUPS,[P1]);
R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2814");
P2 := Group(R.generators);
Append(names,["ordnung.12/(2)^2(6)^4/words.group.2814"]);
Append(GROUPS,[P2]);
R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2815");
P3 := Group(R.generators);
Append(names,["ordnung.12/(2)^2(6)^4/words.group.2815"]);
Append(GROUPS,[P3]);
R := CaratReadBravaisFile("ordnung.12/(2)^2(6)^4/group.2816");
P4 := Group(R.generators);
Append(names,["ordnung.12/(2)^2(6)^4/words.group.2816"]);
Append(GROUPS,[P4]);
R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^2/group.2817");
P5 := Group(R.generators);
Append(names,["ordnung.12/(2)^4(6)^2/words.group.2817"]);
Append(GROUPS,[P5]);
R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^2/group.2818");
P6 := Group(R.generators);
Append(names,["ordnung.12/(2)^4(6)^2/words.group.2818"]);
Append(GROUPS,[P6]);
R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/group.2819");
P7 := Group(R.generators);
Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.group.2819"]);
Append(GROUPS,[P7]);
R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/group.2820");
P8 := Group(R.generators);
Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.group.2820"]);
Append(GROUPS,[P8]);
R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/min.406");
P9 := Group(R.generators);
Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.min.406"]);
Append(GROUPS,[P9]);
R := CaratReadBravaisFile("ordnung.12/(2)^4(6)^4(18)^2/min.407");
P10 := Group(R.generators);
Append(names,["ordnung.12/(2)^4(6)^4(18)^2/words.min.407"]);
Append(GROUPS,[P10]);
R := CaratReadBravaisFile("ordnung.12/(6)^6/group.2821");
P11 := Group(R.generators);
Append(names,["ordnung.12/(6)^6/words.group.2821"]);
Append(GROUPS,[P11]);
R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^3(6)^2/group.2822");
P12 := Group(R.generators);
Append(names,["ordnung.144/(1)^3(3)^3(6)^2/words.group.2822"]);
Append(GROUPS,[P12]);
R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^3(6)^2/group.2823");
P13 := Group(R.generators);
Append(names,["ordnung.144/(1)^3(3)^3(6)^2/words.group.2823"]);
Append(GROUPS,[P13]);
R := CaratReadBravaisFile("ordnung.144/(1)^3(3)^5(6)^1(18)^1/group.2824");
P14 := Group(R.generators);
Append(names,["ordnung.144/(1)^3(3)^5(6)^1(18)^1/words.group.2824"]);
Append(GROUPS,[P14]);
R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^2(6)^1(18)^1/group.2825");
P15 := Group(R.generators);
Append(names,["ordnung.144/(1)^4(3)^2(6)^1(18)^1/words.group.2825"]);
Append(GROUPS,[P15]);
R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2826");
P16 := Group(R.generators);
Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2826"]);
Append(GROUPS,[P16]);
R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2827");
P17 := Group(R.generators);
Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2827"]);
Append(GROUPS,[P17]);
R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2828");
P18 := Group(R.generators);
Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2828"]);
Append(GROUPS,[P18]);
R := CaratReadBravaisFile("ordnung.144/(1)^4(3)^4(18)^2/group.2829");
P19 := Group(R.generators);
Append(names,["ordnung.144/(1)^4(3)^4(18)^2/words.group.2829"]);
Append(GROUPS,[P19]);
R := CaratReadBravaisFile("ordnung.144/(1)^4(6)^2/group.2830");
P20 := Group(R.generators);
Append(names,["ordnung.144/(1)^4(6)^2/words.group.2830"]);
Append(GROUPS,[P20]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2831");
P21 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2831"]);
Append(GROUPS,[P21]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2832");
P22 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2832"]);
Append(GROUPS,[P22]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2833");
P23 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2833"]);
Append(GROUPS,[P23]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2834");
P24 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2834"]);
Append(GROUPS,[P24]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2835");
P25 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2835"]);
Append(GROUPS,[P25]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2836");
P26 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2836"]);
Append(GROUPS,[P26]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2837");
P27 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2837"]);
Append(GROUPS,[P27]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2838");
P28 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2838"]);
Append(GROUPS,[P28]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2839");
P29 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2839"]);
Append(GROUPS,[P29]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2840");
P30 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2840"]);
Append(GROUPS,[P30]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2841");
P31 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2841"]);
Append(GROUPS,[P31]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^1(6)^2/group.2842");
P32 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^1(6)^2/words.group.2842"]);
Append(GROUPS,[P32]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2843");
P33 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2843"]);
Append(GROUPS,[P33]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2844");
P34 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2844"]);
Append(GROUPS,[P34]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2845");
P35 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2845"]);
Append(GROUPS,[P35]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2846");
P36 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2846"]);
Append(GROUPS,[P36]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2847");
P37 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2847"]);
Append(GROUPS,[P37]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2848");
P38 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2848"]);
Append(GROUPS,[P38]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2849");
P39 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2849"]);
Append(GROUPS,[P39]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2850");
P40 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2850"]);
Append(GROUPS,[P40]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2851");
P41 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2851"]);
Append(GROUPS,[P41]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2852");
P42 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2852"]);
Append(GROUPS,[P42]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2853");
P43 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2853"]);
Append(GROUPS,[P43]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2854");
P44 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2854"]);
Append(GROUPS,[P44]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2855");
P45 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2855"]);
Append(GROUPS,[P45]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2856");
P46 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2856"]);
Append(GROUPS,[P46]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2857");
P47 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2857"]);
Append(GROUPS,[P47]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2858");
P48 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2858"]);
Append(GROUPS,[P48]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2859");
P49 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2859"]);
Append(GROUPS,[P49]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2860");
P50 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2860"]);
Append(GROUPS,[P50]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2861");
P51 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2861"]);
Append(GROUPS,[P51]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2862");
P52 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2862"]);
Append(GROUPS,[P52]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2863");
P53 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2863"]);
Append(GROUPS,[P53]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2864");
P54 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2864"]);
Append(GROUPS,[P54]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2865");
P55 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2865"]);
Append(GROUPS,[P55]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2866");
P56 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2866"]);
Append(GROUPS,[P56]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2867");
P57 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2867"]);
Append(GROUPS,[P57]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2868");
P58 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2868"]);
Append(GROUPS,[P58]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2869");
P59 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2869"]);
Append(GROUPS,[P59]);
R := CaratReadBravaisFile("ordnung.144/(1)^5(3)^3(6)^1(18)^1/group.2870");
P60 := Group(R.generators);
Append(names,["ordnung.144/(1)^5(3)^3(6)^1(18)^1/words.group.2870"]);
Append(GROUPS,[P60]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2871");
P61 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2871"]);
Append(GROUPS,[P61]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2872");
P62 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2872"]);
Append(GROUPS,[P62]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2873");
P63 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2873"]);
Append(GROUPS,[P63]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2874");
P64 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2874"]);
Append(GROUPS,[P64]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2875");
P65 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2875"]);
Append(GROUPS,[P65]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2876");
P66 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2876"]);
Append(GROUPS,[P66]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2877");
P67 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2877"]);
Append(GROUPS,[P67]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2878");
P68 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2878"]);
Append(GROUPS,[P68]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2879");
P69 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2879"]);
Append(GROUPS,[P69]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2880");
P70 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2880"]);
Append(GROUPS,[P70]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2881");
P71 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2881"]);
Append(GROUPS,[P71]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2882");
P72 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2882"]);
Append(GROUPS,[P72]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2883");
P73 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2883"]);
Append(GROUPS,[P73]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2884");
P74 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2884"]);
Append(GROUPS,[P74]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2885");
P75 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2885"]);
Append(GROUPS,[P75]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2886");
P76 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2886"]);
Append(GROUPS,[P76]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2887");
P77 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2887"]);
Append(GROUPS,[P77]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2888");
P78 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2888"]);
Append(GROUPS,[P78]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2889");
P79 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2889"]);
Append(GROUPS,[P79]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2890");
P80 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2890"]);
Append(GROUPS,[P80]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2891");
P81 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2891"]);
Append(GROUPS,[P81]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2892");
P82 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2892"]);
Append(GROUPS,[P82]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2893");
P83 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2893"]);
Append(GROUPS,[P83]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2894");
P84 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2894"]);
Append(GROUPS,[P84]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2895");
P85 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2895"]);
Append(GROUPS,[P85]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2896");
P86 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2896"]);
Append(GROUPS,[P86]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2897");
P87 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2897"]);
Append(GROUPS,[P87]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2898");
P88 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2898"]);
Append(GROUPS,[P88]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2899");
P89 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2899"]);
Append(GROUPS,[P89]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2900");
P90 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2900"]);
Append(GROUPS,[P90]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2901");
P91 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2901"]);
Append(GROUPS,[P91]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2902");
P92 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2902"]);
Append(GROUPS,[P92]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2903");
P93 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2903"]);
Append(GROUPS,[P93]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2904");
P94 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2904"]);
Append(GROUPS,[P94]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2905");
P95 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2905"]);
Append(GROUPS,[P95]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2906");
P96 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2906"]);
Append(GROUPS,[P96]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2907");
P97 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2907"]);
Append(GROUPS,[P97]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2908");
P98 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2908"]);
Append(GROUPS,[P98]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2909");
P99 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2909"]);
Append(GROUPS,[P99]);
R := CaratReadBravaisFile("ordnung.144/(1)^6(3)^2(6)^2/group.2910");
P100 := Group(R.generators);
Append(names,["ordnung.144/(1)^6(3)^2(6)^2/words.group.2910"]);
Append(GROUPS,[P100]);
R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^2/min.408");
P101 := Group(R.generators);
Append(names,["ordnung.18/(1)^2(3)^2(18)^2/words.min.408"]);
Append(GROUPS,[P101]);
R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^2(18)^2/min.409");
P102 := Group(R.generators);
Append(names,["ordnung.18/(1)^2(3)^2(18)^2/words.min.409"]);
Append(GROUPS,[P102]);
R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^2/min.410");
P103 := Group(R.generators);
Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^2/words.min.410"]);
Append(GROUPS,[P103]);
R := CaratReadBravaisFile("ordnung.18/(1)^2(3)^3(9)^1(18)^2/min.411");
P104 := Group(R.generators);
Append(names,["ordnung.18/(1)^2(3)^3(9)^1(18)^2/words.min.411"]);
Append(GROUPS,[P104]);
R := CaratReadBravaisFile("ordnung.18/(3)^4(6)^2/group.2911");
P105 := Group(R.generators);
Append(names,["ordnung.18/(3)^4(6)^2/words.group.2911"]);
Append(GROUPS,[P105]);
R := CaratReadBravaisFile("ordnung.18/(3)^8(18)^2/min.412");
P106 := Group(R.generators);
Append(names,["ordnung.18/(3)^8(18)^2/words.min.412"]);
Append(GROUPS,[P106]);
R := CaratReadBravaisFile("ordnung.24/(2)^2(6)^4/group.2912");
P107 := Group(R.generators);
Append(names,["ordnung.24/(2)^2(6)^4/words.group.2912"]);
Append(GROUPS,[P107]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2913");
P108 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^2/words.group.2913"]);
Append(GROUPS,[P108]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2914");
P109 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^2/words.group.2914"]);
Append(GROUPS,[P109]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2915");
P110 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^2/words.group.2915"]);
Append(GROUPS,[P110]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2916");
P111 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^2/words.group.2916"]);
Append(GROUPS,[P111]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^2/group.2917");
P112 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^2/words.group.2917"]);
Append(GROUPS,[P112]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^4(18)^2/group.2918");
P113 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^4(18)^2/words.group.2918"]);
Append(GROUPS,[P113]);
R := CaratReadBravaisFile("ordnung.24/(2)^4(6)^4(18)^2/group.2919");
P114 := Group(R.generators);
Append(names,["ordnung.24/(2)^4(6)^4(18)^2/words.group.2919"]);
Append(GROUPS,[P114]);
R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2920");
P115 := Group(R.generators);
Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2920"]);
Append(GROUPS,[P115]);
R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2921");
P116 := Group(R.generators);
Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2921"]);
Append(GROUPS,[P116]);
R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2922");
P117 := Group(R.generators);
Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2922"]);
Append(GROUPS,[P117]);
R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2923");
P118 := Group(R.generators);
Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2923"]);
Append(GROUPS,[P118]);
R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2924");
P119 := Group(R.generators);
Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2924"]);
Append(GROUPS,[P119]);
R := CaratReadBravaisFile("ordnung.24/(2)^5(6)^4(18)^1/group.2925");
P120 := Group(R.generators);
Append(names,["ordnung.24/(2)^5(6)^4(18)^1/words.group.2925"]);
Append(GROUPS,[P120]);
R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2926");
P121 := Group(R.generators);
Append(names,["ordnung.24/(2)^6(6)^4/words.group.2926"]);
Append(GROUPS,[P121]);
R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2927");
P122 := Group(R.generators);
Append(names,["ordnung.24/(2)^6(6)^4/words.group.2927"]);
Append(GROUPS,[P122]);
R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2928");
P123 := Group(R.generators);
Append(names,["ordnung.24/(2)^6(6)^4/words.group.2928"]);
Append(GROUPS,[P123]);
R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2929");
P124 := Group(R.generators);
Append(names,["ordnung.24/(2)^6(6)^4/words.group.2929"]);
Append(GROUPS,[P124]);
R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2930");
P125 := Group(R.generators);
Append(names,["ordnung.24/(2)^6(6)^4/words.group.2930"]);
Append(GROUPS,[P125]);
R := CaratReadBravaisFile("ordnung.24/(2)^6(6)^4/group.2931");
P126 := Group(R.generators);
Append(names,["ordnung.24/(2)^6(6)^4/words.group.2931"]);
Append(GROUPS,[P126]);
R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^1(6)^2/group.2932");
P127 := Group(R.generators);
Append(names,["ordnung.288/(1)^5(3)^1(6)^2/words.group.2932"]);
Append(GROUPS,[P127]);
R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1(18)^1/group.2933");
P128 := Group(R.generators);
Append(names,["ordnung.288/(1)^5(3)^3(6)^1(18)^1/words.group.2933"]);
Append(GROUPS,[P128]);
R := CaratReadBravaisFile("ordnung.288/(1)^5(3)^3(6)^1(18)^1/group.2934");
P129 := Group(R.generators);
Append(names,["ordnung.288/(1)^5(3)^3(6)^1(18)^1/words.group.2934"]);
Append(GROUPS,[P129]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2935");
P130 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2935"]);
Append(GROUPS,[P130]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2936");
P131 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2936"]);
Append(GROUPS,[P131]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2937");
P132 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2937"]);
Append(GROUPS,[P132]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2938");
P133 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2938"]);
Append(GROUPS,[P133]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2939");
P134 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2939"]);
Append(GROUPS,[P134]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2940");
P135 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2940"]);
Append(GROUPS,[P135]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2941");
P136 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2941"]);
Append(GROUPS,[P136]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2942");
P137 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2942"]);
Append(GROUPS,[P137]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2943");
P138 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2943"]);
Append(GROUPS,[P138]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2944");
P139 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2944"]);
Append(GROUPS,[P139]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2945");
P140 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2945"]);
Append(GROUPS,[P140]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2946");
P141 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2946"]);
Append(GROUPS,[P141]);
R := CaratReadBravaisFile("ordnung.288/(1)^6(3)^2(6)^2/group.2947");
P142 := Group(R.generators);
Append(names,["ordnung.288/(1)^6(3)^2(6)^2/words.group.2947"]);
Append(GROUPS,[P142]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(18)^2/group.2948");
P143 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^2(18)^2/words.group.2948"]);
Append(GROUPS,[P143]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2949");
P144 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2949"]);
Append(GROUPS,[P144]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2950");
P145 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2950"]);
Append(GROUPS,[P145]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2951");
P146 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2951"]);
Append(GROUPS,[P146]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^2(6)^2/group.2952");
P147 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^2(6)^2/words.group.2952"]);
Append(GROUPS,[P147]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^3(9)^1(18)^2/group.2953");
P148 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^3(9)^1(18)^2/words.group.2953"]);
Append(GROUPS,[P148]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2954");
P149 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2954"]);
Append(GROUPS,[P149]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2955");
P150 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2955"]);
Append(GROUPS,[P150]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2956");
P151 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2956"]);
Append(GROUPS,[P151]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2957");
P152 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2957"]);
Append(GROUPS,[P152]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2958");
P153 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2958"]);
Append(GROUPS,[P153]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2959");
P154 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2959"]);
Append(GROUPS,[P154]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2960");
P155 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2960"]);
Append(GROUPS,[P155]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^4(6)^1(18)^1/group.2961");
P156 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^4(6)^1(18)^1/words.group.2961"]);
Append(GROUPS,[P156]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2962");
P157 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2962"]);
Append(GROUPS,[P157]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2963");
P158 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2963"]);
Append(GROUPS,[P158]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2964");
P159 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2964"]);
Append(GROUPS,[P159]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2965");
P160 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2965"]);
Append(GROUPS,[P160]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2966");
P161 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2966"]);
Append(GROUPS,[P161]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2967");
P162 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2967"]);
Append(GROUPS,[P162]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2968");
P163 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2968"]);
Append(GROUPS,[P163]);
R := CaratReadBravaisFile("ordnung.36/(1)^2(3)^6(18)^2/group.2969");
P164 := Group(R.generators);
Append(names,["ordnung.36/(1)^2(3)^6(18)^2/words.group.2969"]);
Append(GROUPS,[P164]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2970");
P165 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2970"]);
Append(GROUPS,[P165]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2971");
P166 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2971"]);
Append(GROUPS,[P166]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^1(6)^1(18)^1/group.2972");
P167 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^1(6)^1(18)^1/words.group.2972"]);
Append(GROUPS,[P167]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2973");
P168 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2973"]);
Append(GROUPS,[P168]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2974");
P169 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2974"]);
Append(GROUPS,[P169]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2975");
P170 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2975"]);
Append(GROUPS,[P170]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2976");
P171 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2976"]);
Append(GROUPS,[P171]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2977");
P172 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2977"]);
Append(GROUPS,[P172]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2978");
P173 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2978"]);
Append(GROUPS,[P173]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(18)^2/group.2979");
P174 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(18)^2/words.group.2979"]);
Append(GROUPS,[P174]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2980");
P175 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2980"]);
Append(GROUPS,[P175]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2981");
P176 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2981"]);
Append(GROUPS,[P176]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2982");
P177 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2982"]);
Append(GROUPS,[P177]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2983");
P178 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2983"]);
Append(GROUPS,[P178]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2984");
P179 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2984"]);
Append(GROUPS,[P179]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^3(6)^2/group.2985");
P180 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^3(6)^2/words.group.2985"]);
Append(GROUPS,[P180]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2986");
P181 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2986"]);
Append(GROUPS,[P181]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2987");
P182 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2987"]);
Append(GROUPS,[P182]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^4(9)^1(18)^2/group.2988");
P183 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^4(9)^1(18)^2/words.group.2988"]);
Append(GROUPS,[P183]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2989");
P184 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2989"]);
Append(GROUPS,[P184]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2990");
P185 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2990"]);
Append(GROUPS,[P185]);
R := CaratReadBravaisFile("ordnung.36/(1)^3(3)^5(6)^1(18)^1/group.2991");
P186 := Group(R.generators);
Append(names,["ordnung.36/(1)^3(3)^5(6)^1(18)^1/words.group.2991"]);
Append(GROUPS,[P186]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2992");
P187 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2992"]);
Append(GROUPS,[P187]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2993");
P188 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2993"]);
Append(GROUPS,[P188]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2994");
P189 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2994"]);
Append(GROUPS,[P189]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^2(6)^1(18)^1/group.2995");
P190 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^2(6)^1(18)^1/words.group.2995"]);
Append(GROUPS,[P190]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2996");
P191 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2996"]);
Append(GROUPS,[P191]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2997");
P192 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2997"]);
Append(GROUPS,[P192]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2998");
P193 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2998"]);
Append(GROUPS,[P193]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.2999");
P194 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.2999"]);
Append(GROUPS,[P194]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3000");
P195 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3000"]);
Append(GROUPS,[P195]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3001");
P196 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3001"]);
Append(GROUPS,[P196]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3002");
P197 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3002"]);
Append(GROUPS,[P197]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3003");
P198 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3003"]);
Append(GROUPS,[P198]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3004");
P199 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3004"]);
Append(GROUPS,[P199]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(3)^4(18)^2/group.3005");
P200 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(3)^4(18)^2/words.group.3005"]);
Append(GROUPS,[P200]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(6)^2/group.3006");
P201 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(6)^2/words.group.3006"]);
Append(GROUPS,[P201]);
R := CaratReadBravaisFile("ordnung.36/(1)^4(6)^2/group.3007");
P202 := Group(R.generators);
Append(names,["ordnung.36/(1)^4(6)^2/words.group.3007"]);
Append(GROUPS,[P202]);
R := CaratReadBravaisFile("ordnung.36/(3)^4(6)^2/group.3008");
P203 := Group(R.generators);
Append(names,["ordnung.36/(3)^4(6)^2/words.group.3008"]);
Append(GROUPS,[P203]);
R := CaratReadBravaisFile("ordnung.36/(3)^8(18)^2/group.3009");
P204 := Group(R.generators);
Append(names,["ordnung.36/(3)^8(18)^2/words.group.3009"]);
Append(GROUPS,[P204]);
R := CaratReadBravaisFile("ordnung.48/(2)^4(6)^2/group.3010");
P205 := Group(R.generators);
Append(names,["ordnung.48/(2)^4(6)^2/words.group.3010"]);
Append(GROUPS,[P205]);
R := CaratReadBravaisFile("ordnung.48/(2)^5(6)^4(18)^1/group.3011");
P206 := Group(R.generators);
Append(names,["ordnung.48/(2)^5(6)^4(18)^1/words.group.3011"]);
Append(GROUPS,[P206]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3012");
P207 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3012"]);
Append(GROUPS,[P207]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3013");
P208 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3013"]);
Append(GROUPS,[P208]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3014");
P209 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3014"]);
Append(GROUPS,[P209]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3015");
P210 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3015"]);
Append(GROUPS,[P210]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3016");
P211 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3016"]);
Append(GROUPS,[P211]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3017");
P212 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3017"]);
Append(GROUPS,[P212]);
R := CaratReadBravaisFile("ordnung.48/(2)^6(6)^4/group.3018");
P213 := Group(R.generators);
Append(names,["ordnung.48/(2)^6(6)^4/words.group.3018"]);
Append(GROUPS,[P213]);
R := CaratReadBravaisFile("ordnung.576/(1)^6(3)^2(6)^2/group.3019");
P214 := Group(R.generators);
Append(names,["ordnung.576/(1)^6(3)^2(6)^2/words.group.3019"]);
Append(GROUPS,[P214]);
R := CaratReadBravaisFile("ordnung.6/(6)^6/min.413");
P215 := Group(R.generators);
Append(names,["ordnung.6/(6)^6/words.min.413"]);
Append(GROUPS,[P215]);
R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^2(6)^2/group.3020");
P216 := Group(R.generators);
Append(names,["ordnung.72/(1)^2(3)^2(6)^2/words.group.3020"]);
Append(GROUPS,[P216]);
R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1(18)^1/group.3021");
P217 := Group(R.generators);
Append(names,["ordnung.72/(1)^2(3)^4(6)^1(18)^1/words.group.3021"]);
Append(GROUPS,[P217]);
R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^4(6)^1(18)^1/group.3022");
P218 := Group(R.generators);
Append(names,["ordnung.72/(1)^2(3)^4(6)^1(18)^1/words.group.3022"]);
Append(GROUPS,[P218]);
R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^2/group.3023");
P219 := Group(R.generators);
Append(names,["ordnung.72/(1)^2(3)^6(18)^2/words.group.3023"]);
Append(GROUPS,[P219]);
R := CaratReadBravaisFile("ordnung.72/(1)^2(3)^6(18)^2/group.3024");
P220 := Group(R.generators);
Append(names,["ordnung.72/(1)^2(3)^6(18)^2/words.group.3024"]);
Append(GROUPS,[P220]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^1(6)^1(18)^1/group.3025");
P221 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^1(6)^1(18)^1/words.group.3025"]);
Append(GROUPS,[P221]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^2/group.3026");
P222 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(18)^2/words.group.3026"]);
Append(GROUPS,[P222]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(18)^2/group.3027");
P223 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(18)^2/words.group.3027"]);
Append(GROUPS,[P223]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3028");
P224 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3028"]);
Append(GROUPS,[P224]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3029");
P225 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3029"]);
Append(GROUPS,[P225]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3030");
P226 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3030"]);
Append(GROUPS,[P226]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3031");
P227 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3031"]);
Append(GROUPS,[P227]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3032");
P228 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3032"]);
Append(GROUPS,[P228]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3033");
P229 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3033"]);
Append(GROUPS,[P229]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3034");
P230 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3034"]);
Append(GROUPS,[P230]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3035");
P231 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3035"]);
Append(GROUPS,[P231]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3036");
P232 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3036"]);
Append(GROUPS,[P232]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3037");
P233 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3037"]);
Append(GROUPS,[P233]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3038");
P234 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3038"]);
Append(GROUPS,[P234]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3039");
P235 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3039"]);
Append(GROUPS,[P235]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3040");
P236 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3040"]);
Append(GROUPS,[P236]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^3(6)^2/group.3041");
P237 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^3(6)^2/words.group.3041"]);
Append(GROUPS,[P237]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^4(9)^1(18)^2/group.3042");
P238 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^4(9)^1(18)^2/words.group.3042"]);
Append(GROUPS,[P238]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3043");
P239 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3043"]);
Append(GROUPS,[P239]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3044");
P240 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3044"]);
Append(GROUPS,[P240]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3045");
P241 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3045"]);
Append(GROUPS,[P241]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3046");
P242 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3046"]);
Append(GROUPS,[P242]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3047");
P243 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3047"]);
Append(GROUPS,[P243]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3048");
P244 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3048"]);
Append(GROUPS,[P244]);
R := CaratReadBravaisFile("ordnung.72/(1)^3(3)^5(6)^1(18)^1/group.3049");
P245 := Group(R.generators);
Append(names,["ordnung.72/(1)^3(3)^5(6)^1(18)^1/words.group.3049"]);
Append(GROUPS,[P245]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3050");
P246 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3050"]);
Append(GROUPS,[P246]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3051");
P247 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3051"]);
Append(GROUPS,[P247]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3052");
P248 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3052"]);
Append(GROUPS,[P248]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3053");
P249 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3053"]);
Append(GROUPS,[P249]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3054");
P250 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3054"]);
Append(GROUPS,[P250]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3055");
P251 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3055"]);
Append(GROUPS,[P251]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3056");
P252 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3056"]);
Append(GROUPS,[P252]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3057");
P253 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3057"]);
Append(GROUPS,[P253]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^2(6)^1(18)^1/group.3058");
P254 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^2(6)^1(18)^1/words.group.3058"]);
Append(GROUPS,[P254]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3059");
P255 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3059"]);
Append(GROUPS,[P255]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3060");
P256 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3060"]);
Append(GROUPS,[P256]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3061");
P257 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3061"]);
Append(GROUPS,[P257]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3062");
P258 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3062"]);
Append(GROUPS,[P258]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3063");
P259 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3063"]);
Append(GROUPS,[P259]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3064");
P260 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3064"]);
Append(GROUPS,[P260]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3065");
P261 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3065"]);
Append(GROUPS,[P261]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3066");
P262 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3066"]);
Append(GROUPS,[P262]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3067");
P263 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3067"]);
Append(GROUPS,[P263]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3068");
P264 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3068"]);
Append(GROUPS,[P264]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3069");
P265 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3069"]);
Append(GROUPS,[P265]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3070");
P266 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3070"]);
Append(GROUPS,[P266]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3071");
P267 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3071"]);
Append(GROUPS,[P267]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3072");
P268 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3072"]);
Append(GROUPS,[P268]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3073");
P269 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3073"]);
Append(GROUPS,[P269]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3074");
P270 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3074"]);
Append(GROUPS,[P270]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3075");
P271 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3075"]);
Append(GROUPS,[P271]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3076");
P272 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3076"]);
Append(GROUPS,[P272]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3077");
P273 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3077"]);
Append(GROUPS,[P273]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3078");
P274 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3078"]);
Append(GROUPS,[P274]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3079");
P275 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3079"]);
Append(GROUPS,[P275]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3080");
P276 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3080"]);
Append(GROUPS,[P276]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3081");
P277 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3081"]);
Append(GROUPS,[P277]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(3)^4(18)^2/group.3082");
P278 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(3)^4(18)^2/words.group.3082"]);
Append(GROUPS,[P278]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3083");
P279 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(6)^2/words.group.3083"]);
Append(GROUPS,[P279]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3084");
P280 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(6)^2/words.group.3084"]);
Append(GROUPS,[P280]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3085");
P281 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(6)^2/words.group.3085"]);
Append(GROUPS,[P281]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3086");
P282 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(6)^2/words.group.3086"]);
Append(GROUPS,[P282]);
R := CaratReadBravaisFile("ordnung.72/(1)^4(6)^2/group.3087");
P283 := Group(R.generators);
Append(names,["ordnung.72/(1)^4(6)^2/words.group.3087"]);
Append(GROUPS,[P283]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3088");
P284 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3088"]);
Append(GROUPS,[P284]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3089");
P285 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3089"]);
Append(GROUPS,[P285]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3090");
P286 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3090"]);
Append(GROUPS,[P286]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3091");
P287 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3091"]);
Append(GROUPS,[P287]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3092");
P288 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3092"]);
Append(GROUPS,[P288]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3093");
P289 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3093"]);
Append(GROUPS,[P289]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3094");
P290 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3094"]);
Append(GROUPS,[P290]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3095");
P291 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3095"]);
Append(GROUPS,[P291]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3096");
P292 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3096"]);
Append(GROUPS,[P292]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3097");
P293 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3097"]);
Append(GROUPS,[P293]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3098");
P294 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3098"]);
Append(GROUPS,[P294]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3099");
P295 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3099"]);
Append(GROUPS,[P295]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3100");
P296 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3100"]);
Append(GROUPS,[P296]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3101");
P297 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3101"]);
Append(GROUPS,[P297]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3102");
P298 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3102"]);
Append(GROUPS,[P298]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3103");
P299 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3103"]);
Append(GROUPS,[P299]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^1(6)^2/group.3104");
P300 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^1(6)^2/words.group.3104"]);
Append(GROUPS,[P300]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3105");
P301 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3105"]);
Append(GROUPS,[P301]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3106");
P302 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3106"]);
Append(GROUPS,[P302]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3107");
P303 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3107"]);
Append(GROUPS,[P303]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3108");
P304 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3108"]);
Append(GROUPS,[P304]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3109");
P305 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3109"]);
Append(GROUPS,[P305]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3110");
P306 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3110"]);
Append(GROUPS,[P306]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3111");
P307 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3111"]);
Append(GROUPS,[P307]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3112");
P308 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3112"]);
Append(GROUPS,[P308]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3113");
P309 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3113"]);
Append(GROUPS,[P309]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3114");
P310 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3114"]);
Append(GROUPS,[P310]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3115");
P311 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3115"]);
Append(GROUPS,[P311]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3116");
P312 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3116"]);
Append(GROUPS,[P312]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3117");
P313 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3117"]);
Append(GROUPS,[P313]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3118");
P314 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3118"]);
Append(GROUPS,[P314]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3119");
P315 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3119"]);
Append(GROUPS,[P315]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3120");
P316 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3120"]);
Append(GROUPS,[P316]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3121");
P317 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3121"]);
Append(GROUPS,[P317]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3122");
P318 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3122"]);
Append(GROUPS,[P318]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3123");
P319 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3123"]);
Append(GROUPS,[P319]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3124");
P320 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3124"]);
Append(GROUPS,[P320]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3125");
P321 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3125"]);
Append(GROUPS,[P321]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3126");
P322 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3126"]);
Append(GROUPS,[P322]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3127");
P323 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3127"]);
Append(GROUPS,[P323]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3128");
P324 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3128"]);
Append(GROUPS,[P324]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3129");
P325 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3129"]);
Append(GROUPS,[P325]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3130");
P326 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3130"]);
Append(GROUPS,[P326]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3131");
P327 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3131"]);
Append(GROUPS,[P327]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3132");
P328 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3132"]);
Append(GROUPS,[P328]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3133");
P329 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3133"]);
Append(GROUPS,[P329]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3134");
P330 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3134"]);
Append(GROUPS,[P330]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3135");
P331 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3135"]);
Append(GROUPS,[P331]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3136");
P332 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3136"]);
Append(GROUPS,[P332]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3137");
P333 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3137"]);
Append(GROUPS,[P333]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3138");
P334 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3138"]);
Append(GROUPS,[P334]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3139");
P335 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3139"]);
Append(GROUPS,[P335]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3140");
P336 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3140"]);
Append(GROUPS,[P336]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3141");
P337 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3141"]);
Append(GROUPS,[P337]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3142");
P338 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3142"]);
Append(GROUPS,[P338]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3143");
P339 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3143"]);
Append(GROUPS,[P339]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3144");
P340 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3144"]);
Append(GROUPS,[P340]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3145");
P341 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3145"]);
Append(GROUPS,[P341]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3146");
P342 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3146"]);
Append(GROUPS,[P342]);
R := CaratReadBravaisFile("ordnung.72/(1)^5(3)^3(6)^1(18)^1/group.3147");
P343 := Group(R.generators);
Append(names,["ordnung.72/(1)^5(3)^3(6)^1(18)^1/words.group.3147"]);
Append(GROUPS,[P343]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3148");
P344 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3148"]);
Append(GROUPS,[P344]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3149");
P345 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3149"]);
Append(GROUPS,[P345]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3150");
P346 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3150"]);
Append(GROUPS,[P346]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3151");
P347 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3151"]);
Append(GROUPS,[P347]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3152");
P348 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3152"]);
Append(GROUPS,[P348]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3153");
P349 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3153"]);
Append(GROUPS,[P349]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3154");
P350 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3154"]);
Append(GROUPS,[P350]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3155");
P351 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3155"]);
Append(GROUPS,[P351]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3156");
P352 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3156"]);
Append(GROUPS,[P352]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3157");
P353 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3157"]);
Append(GROUPS,[P353]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3158");
P354 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3158"]);
Append(GROUPS,[P354]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3159");
P355 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3159"]);
Append(GROUPS,[P355]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3160");
P356 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3160"]);
Append(GROUPS,[P356]);
R := CaratReadBravaisFile("ordnung.72/(1)^6(3)^2(6)^2/group.3161");
P357 := Group(R.generators);
Append(names,["ordnung.72/(1)^6(3)^2(6)^2/words.group.3161"]);
Append(GROUPS,[P357]);
R := CaratReadBravaisFile("ordnung.96/(2)^6(6)^4/group.3162");
P358 := Group(R.generators);
Append(names,["ordnung.96/(2)^6(6)^4/words.group.3162"]);
Append(GROUPS,[P358]);
Print(GROUPS,"\n");
Print(names,"\n");
Size(GROUPS);
Size(names);
Read("../../TGROUPS.GAP");
for i in [1..Size(GROUPS)] do
   SubgroupWords(GROUPS[i], names[i]);
od;
LogTo();
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