C₅×#818 #91061

order	480
isoclinism	isoclinic class of #204
automorphism	?
homology	Abelianization (H₁) = C₂×C₄×C₅ · Schur multiplier (H₂) = C₂

Aliases

Hall	C₃×C₅ ⋊ #107
Sylow	C₃ ⋊ C₅×#107

72 conjugacy classes of subgroups.

minimal degree	μ(G) = 20
transitive degree	μ_t(G) = 480

A minimal faithful permutation representation — 2 generators on 20 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 137);