C₈×C₁₃⋊C₉ #11745409

order	936
isoclinism	isoclinic class of C₁₃⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₈×C₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₈×C₁₃⋊C₉
unambiguous semidirect product	(C₈×C₁₃)⋊C₉

derived, Sylow	C₁₃ ⋊ C₈×C₉
Hall	C₈×C₁₃ ⋊ C₉

24 conjugacy classes of subgroups.

minimal degree	μ(G) = 30
transitive degree	μ_t(G) = 936

A minimal faithful permutation representation — 2 generators on 30 points:

(1,2,3,4,5,6,7,8)(10,11,13)(12,15,18)(14,17,16)(19,21,20)(22,23,25,24,26,28,27,29,30);(9,10,12,11,14,18,15,19,21,13,16,20,17)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(936, 2);