C₅×#67811 #14278697

order	1920
isoclinism	isoclinic class of #4466
automorphism	?
homology	Abelianization (H₁) = C₄×C₅×C₈ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ #1375
Sylow	C₃ ⋊ C₅×#1375

280 conjugacy classes of subgroups.

minimal degree	μ(G) = 28
transitive degree	μ_t(G) = 480

A minimal faithful permutation representation — 2 generators on 28 points:

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1920, 4395);