trans18d.grp

#############################################################################
##
#A  trans18d.grp                 GAP group library           Alexander Hulpke
##
##
#Y  Copyright (C) 2001, Alexander Hulpke, Colorado State University
##
##  This file contains part of the transitive groups of degree 18
##

TRANSGRP[18]{[901..983]}:=
[[(13,14,15)(16,17,18),(1,2)(7,8)(13,14),(1,6,3,5)(2,4)(7,8)(16,17),
(1,7)(2,8,3,9)(4,11,6,10)(5,12),
(1,11,14,3,12,13,2,10,15)(4,8,17,5,7,18,6,9,16),"t18n901"],
[(1,5,2,6,3,4)(7,14,11,17,9,15,10,16)(8,13,12,18),
(1,13,6,16,3,15,5,18)(2,14,4,17)(8,9)(10,12),
(1,5,3,4,2,6)(7,8)(10,11,12)(13,16,15,17,14,18),"t18n902"],
[(1,7,2,8,3,9)(10,18,12,17,11,16)(13,15,14),(1,11,3,12)(2,10)(4,13,5,14,6,15)
(7,17,8,18)(9,16),(4,18,6,17)(5,16)(7,14,9,15)(8,13)(10,11),"t18n903"],
[(1,5,7,3,4,8)(2,6,9)(10,14,18,12,13,16)(11,15,17),
(1,12)(2,11,3,10)(4,15,6,14)(5,13)(7,8)(17,18),
(1,18,5,12,8,15)(2,16,6,10,7,14)(3,17,4,11,9,13),"t18n904"],
[(1,15,16)(2,14,17)(3,13,18)(4,7,12,6,9,11,5,8,10),
(1,13,8,2,15,7)(3,14,9)(4,16,12,5,17,10)(6,18,11),
(1,7,4,2,9,5,3,8,6)(10,17,13,12,16,14)(11,18,15),"t18n905"],
[(1,5,8,11,15,17,2,4,9,12,14,16)(3,6,7,10,13,18),
(1,15,17,12,5,7,3,14,16,10,6,8)(2,13,18,11,4,9),
(1,3,2)(4,6,5)(7,18,9,17)(8,16)(13,15,14),"t18n906"],
[(1,9)(2,7,3,8)(4,14,5,13,6,15)(10,16,11,17)(12,18),
(1,10,3,11,2,12)(4,7)(5,8,6,9)(13,17,15,16)(14,18),
(1,12,2,10,3,11)(4,14,5,15)(6,13)(7,9)(16,18,17),"t18n907"],
[(1,2,3)(4,8,15,18,6,9,14,16,5,7,13,17)(10,11),
(1,16,12,8)(2,18,10,7,3,17,11,9)(4,5,6),"t18n908"],
[(1,4,16,3,6,17)(2,5,18)(7,10,13,9,12,15)(8,11,14),
(1,2)(4,8,5,9,6,7)(11,12)(13,18)(14,17,15,16),"t18n909"],
[(2,3)(4,16)(5,17,6,18)(7,15)(8,14)(9,13)(10,12,11),
(1,7,6,3,9,5)(2,8,4)(10,17,14,11,18,13)(12,16,15),
(1,10)(2,11)(3,12)(7,16,9,17,8,18)(13,14,15),"t18n910"],
[(1,18,12)(2,16,10,6,17,8)(3,14,11,4,13,9)(5,15,7),
(1,13,7)(2,16,8,6,14,11,4,17,12,5,18,9,3,15,10),"t18n911"],
[(7,8)(9,10)(11,15)(12,16),(1,6,17,9,2,5,18,10)(3,8,4,7)(11,14)(12,13),
(1,5,16)(2,6,15)(3,8,14)(4,7,13)(9,11,17,10,12,18),"t18n912"],
[(1,3,12,8,15,18)(2,4,11,7,16,17)(5,14,10,6,13,9),
(1,5,10,12,7,4,15,17)(2,6,9,11,8,3,16,18),"t18n913"],
[(1,9,3,6,8,18,16)(2,10,4,5,7,17,15)(13,14),(1,18,5,3,14,11)(2,17,6,4,13,12)
(9,15,10,16),"t18n914"],
[(1,11,13,5,9,17,3,10,15,4,7,16,2,12,14,6,8,18),(1,6,14,18,8,12)
(2,5,13,17,9,10,3,4,15,16,7,11),"t18n915"],
[(1,14,7,2,15,8)(3,13,9)(4,11,18,6,12,17)(5,10,16),
(1,12,8,5,2,10,7,4)(3,11,9,6)(13,16,14,18,15,17),"t18n916"],
[(1,9,2,7,3,8)(4,16,5,17,6,18),(1,17,14,11,7,5)(2,18,15,12,8,6)
(3,16,13,10,9,4),(1,14,8,2,15,9)(3,13,7)(4,11,17,5,12,18)(6,10,16),
"t18n917"],
[(1,7,3,8)(2,9)(5,6)(10,17,11,16,12,18),(1,11,8,5,14,16,2,12,7,4,15,17)
(3,10,9,6,13,18),"t18n918"],
[(1,2)(4,18,5,16)(6,17)(7,13,8,15,9,14),(1,12,15,4,3,10,14,6,2,11,13,5)
(7,17,8,18,9,16),"t18n919"],
[(4,7)(5,8,6,9)(10,14,17,12,15,16,11,13,18),(1,14,2,15,3,13)(4,17,9,10,5,16,8,
12)(6,18,7,11),"t18n920"],
[(1,13)(2,15,3,14)(4,5)(8,9)(10,18,12,16,11,17),(1,6,2,4,3,5)(7,17)(8,16)
(9,18)(10,14,12,15)(11,13),(1,15)(2,14,3,13)(4,11,5,10)(6,12)(7,9,8)(17,18),
"t18n921"],
[(1,7,2,8,3,9)(5,6)(10,17,13,11,18,14)(12,16,15),(1,17)(2,18)(3,16)(4,14,5,15)
(6,13)(7,11)(8,12,9,10),"t18n922"],
[(1,15,5,12,8,16)(2,13,4,11,7,17)(3,14,6,10,9,18),
(1,18,3,17)(2,16)(4,11,8,13,5,10,9,14)(6,12,7,15),"t18n923"],
[(1,10,7,13)(2,11,9,14,3,12,8,15)(4,18,6,16,5,17),
(1,17,5,15,9,11)(2,18,4,13,8,10)(3,16,6,14,7,12),"t18n924"],
[(1,13,18,12,9,6,2,14,17,10,8,5,3,15,16,11,7,4),
(1,16,12,3,18,11)(2,17,10)(4,5)(7,14)(8,15)(9,13),"t18n925"],
[(16,17),(2,3)(7,16,9,18,8,17),(1,9,15,3,8,14,2,7,13)(4,10,16)(5,12,18)
(6,11,17),"t18n926"],
[(1,16,11,7,2,17,12,9,3,18,10,8)(5,6)(13,14,15),(1,11,3,12)(2,10)
(4,8,15,16,6,7,14,17)(5,9,13,18),"t18n927"],
[(1,15,10,4,3,13,12,5,2,14,11,6)(7,8,9)(16,17),
(1,14,2,13)(3,15)(4,12,6,10,5,11)(7,17)(8,18)(9,16),
(1,13,16,11,5,7,2,15,18,12,6,9,3,14,17,10,4,8),"t18n928"],
[(1,16,10,7,3,18,11,8)(2,17,12,9)(4,5)(13,15),(1,12,2,11)(3,10)(4,9,5,8)
(6,7)(13,18)(14,17)(15,16),"t18n929"],
[(1,5,11,13,3,6,12,14)(2,4,10,15)(7,16,8,17)(9,18),
(1,15,9)(2,13,7,3,14,8)(4,16,12,5,17,10,6,18,11),
(1,6)(2,4,3,5)(7,9,8)(10,13,11,15)(12,14)(16,17),"t18n930"],
[(1,8,4)(2,9,6,3,7,5)(10,16,13,11,17,15)(12,18,14),
(1,17,2,18,3,16)(4,13,5,14)(6,15)(7,10,8,11)(9,12),
(1,2,3)(4,6,5)(7,16,9,18,8,17)(10,11)(13,15,14),"t18n931"],
[(1,14,16,12,4,9,2,13,18,10,5,7,3,15,17,11,6,8),
(1,18,12,7,2,17,11,9,3,16,10,8)(4,5)(14,15),
(1,4,3,5)(2,6)(10,14,11,15,12,13)(16,17),"t18n932"],
[(1,14,12,4,18,7,5,17,10,6,13,8,3,16,9,2,15,11),
(2,3)(5,6)(7,9,12,8,10)(13,17,14)(15,16,18),"t18n933"],
[(1,3,4)(2,6,5)(7,16,12,15,10,18,9,17,8,14)(11,13),
(1,10,14,2,11,13,6,12,17)(3,9,16,5,7,18,4,8,15),"t18n934"],
[(1,9,3,7,6,12,2,11,4,10)(5,8)(13,15,17,16),(1,16,9,4,13,7)(2,18,8,3,17,11)
(5,15,10)(6,14,12),"t18n935"],
[(1,13,2,14)(3,15)(4,16,6,17,5,18)(7,9),(1,9,18,6,11,3,7,17,4,12,2,8,16,5,
10)(13,14,15),"t18n936"],
[(1,17,6,12,3,15)(2,11,4,18,8,10)(5,16,9,13,7,14),
(1,3,5,6,8,9)(4,7)(10,13,16)(11,15,17),"t18n937"],
[(1,16,8,12,7,15,4,13,5,14,9,17,6,10,3,18,2,11),
(1,11,3,13,4,15,5,14,9,10,8,17,2,16,7,12,6,18),"t18n938"],
[(1,5,2,4)(3,6)(7,17,15,11,8,18,14,10)(9,16,13,12),
(1,14,9)(2,13,8)(3,15,7)(4,10,5,12)(6,11)(17,18),
(1,13,9,2,14,7)(3,15,8)(4,6,5)(10,17)(11,16,12,18),"t18n939"],
[(1,16,3,18,2,17)(4,13,5,15)(6,14)(7,10,8,12,9,11),
(1,12,13,5,2,10,14,4)(3,11,15,6)(7,17,9,18,8,16),"t18n940"],
[(1,8)(2,9,3,7)(4,18)(5,16,6,17)(10,11),(1,11,15,16)(2,10,13,18)(3,12,14,17)
(4,7,6,9)(5,8),(4,6)(7,15)(8,14,9,13)(10,16,11,17)(12,18),"t18n941"],
[(16,17),(1,3,2)(4,10,16,5,12,18)(6,11,17)(8,9),
(1,11,2,12,3,10)(4,13)(5,15,6,14)(7,16,8,17,9,18),
(1,13)(2,14,3,15)(4,10)(5,12,6,11)(16,17),"t18n942"],
[(1,3,2)(4,5,6)(7,8)(10,18,11,16)(12,17)(13,14),
(1,18,13,10,8,5,2,17,15,11,7,6)(3,16,14,12,9,4),"t18n943"],
[(1,17,15,4,2,18,14,6)(3,16,13,5)(7,12,9,10,8,11),(1,4,2,5,3,6)(7,10,8,12)
(9,11)(13,17,15,18)(14,16),(1,12,9,4)(2,11,7,6)(3,10,8,5)(13,17,14,18)
(15,16),"t18n944"],
[(1,15,10,5)(2,13,12,4,3,14,11,6)(7,8),(1,15)(2,14)(3,13)(4,12)(5,11,6,10)
(7,18,9,17,8,16),(1,6,9,11,14,18,3,5,7,12,15,16,2,4,8,10,13,17),
"t18n945"],
[(1,9,16)(2,11,18,4,7,13,6,10,14,3,8,17)(5,12,15),(1,14,6,17,3,16,2,13,5,18)
(4,15)(7,9,11,12,8),"t18n946"],
[(1,11,15,3,8,16)(2,9,14,5,7,18)(4,12,17)(6,10,13),
(1,12,15,3,11,14,4,9,13)(2,10,17,6,8,16,5,7,18),"t18n947"],
[(1,5,3,6)(2,4)(7,8,9)(10,13,12,14,11,15)(16,18),
(1,10,4,16,7,3,12,6,18,9)(2,11,5,17,8),"t18n948"],
[(1,18,6,11,7,15,3,17,4,10,8,13)(2,16,5,12,9,14),
(1,10,15,7,3,11,13,8,2,12,14,9)(4,5,6)(16,18),"t18n949"],
[(1,8,15,5,11,18,2,9,14,4,10,16,3,7,13,6,12,17),
(1,18,9,11,2,17,7,10)(3,16,8,12)(5,6)(13,14,15),"t18n950"],
[(1,14,2,13)(3,15)(4,12)(5,10)(6,11)(7,8,9),(1,10,14,16,9,5,3,11,15,18,7,6)
(2,12,13,17,8,4),(1,13,9,2,14,8)(3,15,7)(4,18)(5,16,6,17)(10,11),
"t18n951"],
[(1,15,4,12)(2,18,5,10,3,16,7,13,9,17,6,14)(8,11),(1,18,5,12,6,17)(2,10)
(3,13,7,14,4,11)(8,16)(9,15),"t18n952"],
[(1,17,8,4,15,12)(2,14,11,3,16,7)(5,13,10)(6,18,9),
(1,15,12)(2,14,11,3,16,8,6,13,9,4,17,10)(5,18,7),"t18n953"],
[(1,13)(2,17,4,15)(3,14,5,16)(6,18)(7,10,8,11),
(1,12,5,8)(2,11,3,10)(4,9,6,7)(13,14,18,17,15),"t18n954"],
[(2,3,5,4,6)(7,17,11,16,8,15,9,13,12,18)(10,14),(1,9,3,10,5,12,4,11)(2,8)
(6,7)(13,15)(14,16)(17,18),"t18n955"],
[(1,7,16)(2,8,17)(3,9,18)(4,15,10,5,14,11)(6,13,12),
(1,11,15,16,7,6,2,10,14,18,9,5)(3,12,13,17,8,4),"t18n956"],
[(1,18)(2,17)(3,16)(4,8,13,11,6,7,14,12,5,9,15,10),
(1,12,13,7,17,2,10,14,8,16)(3,11,15,9,18)(5,6),"t18n957"],
[(1,13)(2,16)(3,17)(4,14)(5,15)(6,18)(7,9,11,10),
(1,16,12,4,17,8,6,15,7,2,13,10)(3,14,9)(5,18,11),"t18n958"],
[(1,16,13,5,10)(2,18,15,6,11)(3,17,14,4,12)(7,8,9),
(1,8,16,6,13,10)(2,7,18,4,14,12,3,9,17,5,15,11),"t18n959"],
[(1,9,17,13,11)(2,7,16,14,10,3,8,18,15,12)(5,6),
(1,15,5,18)(2,14,6,16,3,13,4,17)(7,10)(8,12)(9,11),"t18n960"],
[(1,17,13,9,2,18,14,7)(3,16,15,8)(4,10,5,12)(6,11),
(1,7,6,3,8,4,2,9,5)(10,18)(11,16)(12,17),"t18n961"],
[(1,3)(4,13,12,8)(5,15,11,9,6,14,10,7)(16,18,17),
(1,16,4)(2,18,5)(3,17,6)(7,15)(8,13,9,14),"t18n962"],
[(1,9,11,3,5,15,14,2,10,12,4,6,16,13)(7,8),
(1,8,6,11,4,17,14,10,15)(2,7,5,12,3,18,13,9,16),"t18n963"],
[(1,11,15,2,12,16)(3,7)(4,8)(5,9,17,6,10,18),
(1,16,12,18,8,5,9,2,15,11,17,7,6,10)(3,13,4,14),"t18n964"],
[(1,9,6,2,10,5)(3,15,7,18,11,4,16,8,17,12),
(1,11,13,2,12,14)(3,4)(5,10,17,7,6,9,18,8),"t18n965"],
[(1,5,7,4,2,6,8,3)(9,18)(10,17)(11,14,15)(12,13,16),
(1,18,8,11,9,2,17,7,12,10)(3,4)(5,13,16)(6,14,15),"t18n966"],
[(1,7,15,5,12,14,4,9,18,6,10,17,3,8,13)(2,11,16),
(1,7,17,2,12,16,5,10,18)(3,9,13,4,11,14,6,8,15),"t18n967"],
[(1,17,4,11,13,5,9,16,2,18,3,12,14,6,10,15),
(1,8,17,10,5,14,12,4,16,2,7,18,9,6,13,11,3,15),"t18n968"],
[(1,8,13,6,10,18,4,11,15,3,7,17)(2,12,16)(5,9,14),
(1,3,6,5)(2,4)(7,11,10,9)(8,12)(14,16,18),"t18n969"],
[(1,13,2,18,3,14,6,17,4,16)(5,15)(8,9,12,11),
(1,3,2,6)(7,17,12,13,9,16,8,15,10,18)(11,14),"t18n970"],
[(1,14,12,4,18,8,5,15,10,2,16,9)(3,17,11,6,13,7),
(1,2)(3,4)(7,16,9,17,8,18,10,13,11,14)(12,15),"t18n971"],
[(1,2,6)(4,5)(7,14,8,16)(9,17,12,13)(10,18)(11,15),
(1,17,11,3,18,12,6,13,9,4,15,8,5,16,10,2,14,7),"t18n972"],
[(1,8,17,4,11,16,3,10,13,2,12,14,6,7,18)(5,9,15),
(1,14,10,5,15,11,3,16,7)(2,18,12)(4,13,8)(6,17,9),"t18n973"],
[(1,7,16,4,8,17,3,11,13,5,12,15,6,10,14)(2,9,18),
(1,14,10)(2,18,9,3,16,8,4,13,11,5,17,12)(6,15,7),"t18n974"],
[(1,5,3,2,4,6)(7,15,12,14,9,18)(8,16)(10,13)(11,17),
(1,12,14)(2,7,13,3,9,16)(4,8,15,5,10,17)(6,11,18),"t18n975"],
[(1,16,3,14,5,18,4,15,2,17,6,13)(7,9,12,11,10,8),
(1,8,14,3,7,15,6,9,13,5,11,18)(2,12,17,4,10,16),"t18n976"],
[(1,12,2,8,5,7,6,9)(3,11)(4,10)(13,18,16,14,17,15),
(1,11,13,2,10,17,6,7,14)(3,9,15,5,12,18)(4,8,16),
(1,17,11)(2,16,12,5,13,8,6,14,9)(3,15,7)(4,18,10),"t18n977"],
[(1,10,4,13,2,17,9,16)(3,11)(5,18)(6,12)(7,15,8,14),
(1,17,6,14,4,12,8,15,2,16,7,13,9,11,3,10,5,18),"t18n978"],
[(1,14)(2,13,6,18,8,16,7,15,3,10,9,17,5,12,4,11),
(1,4,7,9,6,3)(2,5,8)(10,17,11)(12,18,15,14),"t18n979"],
[(1,12,8,18,5,16)(2,17,7,10,6,11,4,14,9,15)(3,13),
(1,14,8,15,9,12)(2,18)(3,17,4,16)(5,11,7,10)(6,13),"t18n980"],
[(1,10,8,11)(2,17,5,14,9,16)(3,15)(4,12)(6,18,7,13),
(1,3,9,5,8,2,7,4,6)(10,13,12,18)(11,17,14),"t18n981"],
[(1,2)(3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18),(1,2,3),"t18n982"],
[(1,2),(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18),"t18n983"]];
TRANSPROPERTIES[18]{[901..983]}:=
[
[559872,0,1,-1,
"7FDFDFB5D1110403CCBFA0s060BF7BA1014001FD4s0C200088s043FA80001"
,[-108,-27,-18],[-54,-36,216],[-54,-6,324,1216],[306,[11]],
[10189,[[[-2002,-6,24],[-1036,-1012,72,1024],[-1006,-1003,-3\
6]]]],
[20273,[[[-1004,-36,-2,8],[-108,-12,36,72,1048],[-4,-2],[\
72,144],[72,1024,1048]]]]],
[559872,0,1,-1,
"7FDFDFB555551493CC84s0703E7321010001FD4s0707F4004000200088s05080001"
,[-108,-27,-18],[-54,-36,216],[-54,-6,324,1216],[306,[11]],[10181,[[[-3,-2,1,12]]]]],
[559872,0,1,-1,
"FFFFFDF770F0C203CC84s0701E312F690001FD4s0C200088s05080001"
,[-1054,-27,-18],[-54,-36,1108],[-1054,-162,-6,324,1108],[22,[-54],[-54],[-27],[18]],
[10184,[[[-4006,-2,4],[-4006,-2,4],[-2054,-2018,2036],[-20\
54,-2018,2036],[-2054,-2018,2036],[-2054,-2018,2036],
[-2054,-1027,-162,108],[-1054,-162,1108],
[-1018,-54,-27,-9,36],[-1018,-54,-27,-9,36],
[-1018,-6,12],[-1009,-18,-6,12],[-1006,-3,-2,1],
[-81,-54,108],[-18,-6,-3]]]],[9362,[[-2018,-108,-36,1216]]]],
[559872,0,1,-1,
"7FDF5FB5D2C2C842C880s070BF6BA4210001744s0C200008s0701"
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