C₁₁×#3708 #13097002

order	1584
isoclinism	isoclinic class of #157
automorphism	?
homology	Abelianization (H₁) = C₁₁×C₁₆ · Schur multiplier (H₂) = C₃

Aliases

derived, Sylow	C₃² ⋊ C₁₁×C₁₆
Hall	C₃²×C₁₁ ⋊ C₁₆

36 conjugacy classes of subgroups.

minimal degree	μ(G) = 33
transitive degree	μ_t(G) = 528

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

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

264 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1584, 166);