C₁₁×#4070 #13183137

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

Aliases

Hall	C₅×C₁₁ ⋊ C₂²⋊Q₈
Sylow	C₅ ⋊ C₁₁×C₂²⋊Q₈

148 conjugacy classes of subgroups; only the 74 normal subgroups are shown.

normal subgroups only

This group has 148 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.

Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1760, 946);