C₅×#4699 #11750198

order	960
automorphism	?
homology	Abelianization (H₁) = C₂³×C₅ · Schur multiplier (H₂) = C₂×C₄

Aliases

Hall	C₃×C₅ ⋊ #494
Sylow	C₃ ⋊ C₅×#494

244 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 960

A minimal faithful permutation representation — 3 generators on 28 points:

(1,2,3,4,5)(6,7,8)(13,15,22,26,17,24,16,23)(14,18,25,28,20,27,19,21);(9,10,11,12);(7,8)(10,12)(13,14,17,20)(15,21,24,28)(16,25,22,19)(18,26,27,23)

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(960, 4393);