C₁₁×#4082 #13183148

order	1760
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₁ · Schur multiplier (H₂) = C₂×C₄

Aliases

Hall	C₅×C₁₁ ⋊ #124
Sylow	C₅ ⋊ C₁₁×#124

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)(18,20)(22,26)(23,27);(21,23,24,27)(22,25,26,28);(13,14)(15,16)(17,18,19,20)(21,22)(23,25)(24,26)(27,28)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1760, 957);