C₁₁×C₁₃⋊C₉ #13046215

order	1287
isoclinism	isoclinic class of C₁₃⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₉×C₁₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₁×C₁₃⋊C₉
unambiguous semidirect product	C₁₃⋊(C₉×C₁₁)
unambiguous semidirect product	(C₁₁×C₁₃)⋊C₉

derived, Sylow	C₁₃ ⋊ C₉×C₁₁
Hall	C₁₁×C₁₃ ⋊ C₉

12 conjugacy classes of subgroups.

minimal degree	μ(G) = 33
transitive degree	μ_t(G) = 1287

A minimal faithful permutation representation — 2 generators on 33 points:

(1,2,3,4,5,6,7,8,9,10,11)(13,14,16)(15,18,21)(17,20,19)(22,24,23)(25,26,28,27,29,31,30,32,33);(12,13,15,14,17,21,18,22,24,16,19,23,20)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1287, 1);