C₂×C₄×C₁₃⋊C₉ #11745429

order	936
isoclinism	isoclinic class of C₁₃⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₉ · Schur multiplier (H₂) = C₂

Aliases

direct product	C₂×C₄×C₁₃⋊C₉
unambiguous semidirect product	(C₂×C₄×C₁₃)⋊C₉

derived, Sylow	C₁₃ ⋊ C₂×C₄×C₉
Hall	C₂×C₄×C₁₃ ⋊ C₉

48 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 936

A minimal faithful permutation representation — 2 generators on 28 points:

(1,2)(8,9,11)(10,13,16)(12,15,14)(17,19,18)(20,21,23,22,24,26,25,27,28);(3,4,5,6)(7,8,10,9,12,16,13,17,19,11,14,18,15)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(936, 22);