C₅×C₇⋊#95 #11764502

order	1120
isoclinism	isoclinic class of Dic₁₄
automorphism	?
homology	Abelianization (H₁) = C₄²×C₅ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₅×C₇⋊#95
unambiguous semidirect product	C₇⋊(C₅×#95)

Hall	C₅×C₇ ⋊ #95
Sylow	C₇ ⋊ C₅×#95

152 conjugacy classes of subgroups.

minimal degree	μ(G) = 24
transitive degree	μ_t(G) = 1120

A minimal faithful permutation representation — 2 generators on 24 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1120, 108);