C₅×#69908 #14297420

order	1920
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅×C₈ · Schur multiplier (H₂) = C₂⁴

Aliases

Hall	C₃×C₅ ⋊ #1797
Sylow	C₃ ⋊ C₅×#1797

800 conjugacy classes of subgroups.

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

A minimal faithful permutation representation — 3 generators on 24 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 23118);