C₅×#77169 #14331622

order	1920
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₅ · Schur multiplier (H₂) = C₂⁶

Aliases

1888 conjugacy classes of subgroups.

minimal degree	μ(G) = 24
transitive degree	μ_t(G) = 960

A minimal faithful permutation representation — 4 generators on 24 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 57320);