C₅×#817 #91060

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

Aliases

Hall	C₃×C₅ ⋊ #106
Sylow	C₃ ⋊ C₅×#106

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 136);