2644.sagews

G = SymmetricGroup(7)
S = [H for H in G.conjugacy_classes_subgroups() if H.order() == 12]
print len(S)

13

P = []
for s in S:
    s_in_P = False
    for p in P:
        if s.is_isomorphic(p):
            s_in_P = True
            break
    if not s_in_P:
        P.append(s)
print P

[Permutation Group with generators [(4,5)(6,7), (4,6)(5,7), (5,6,7)], Permutation Group with generators [(5,6,7), (1,2)(3,4), (1,3)(2,4)], Permutation Group with generators [(5,6,7), (3,4)(6,7), (1,2)(6,7)], Permutation Group with generators [(5,6,7), (1,2)(3,4), (1,3,2,4)(6,7)], Permutation Group with generators [(5,6,7), (1,2)(3,4), (1,3,2,4)]]

G = SymmetricGroup(7)
S = [H for H in G.conjugacy_classes_subgroups() if H.order() == 12]
print reduce(lambda P, s: P if any(map(lambda p: s.is_isomorphic(p), P)) else P+[s], S, [])

[Permutation Group with generators [(4,5)(6,7), (4,6)(5,7), (5,6,7)], Permutation Group with generators [(5,6,7), (1,2)(3,4), (1,3)(2,4)], Permutation Group with generators [(5,6,7), (3,4)(6,7), (1,2)(6,7)], Permutation Group with generators [(5,6,7), (1,2)(3,4), (1,3,2,4)(6,7)], Permutation Group with generators [(5,6,7), (1,2)(3,4), (1,3,2,4)]]