C₁₁×#4034 #13183102

order	1760
automorphism	?
homology	Abelianization (H₁) = C₂³×C₁₁ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₅×C₁₁ ⋊ C₄⋊Q₈
Sylow	C₅ ⋊ C₁₁×C₄⋊Q₈

136 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 1760

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1760, 911);