C₁₁×#4023 #13183090

order	1760
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄×C₁₁ · Schur multiplier (H₂) = C₂×C₄

Aliases

Hall	C₅×C₁₁ ⋊ #117
Sylow	C₅ ⋊ C₁₁×#117

152 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 880

A minimal faithful permutation representation — 3 generators on 28 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1760, 899);