C₃×#3949 #91019

order	480
isoclinism	isoclinic class of #677
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₄ · Schur multiplier (H₂) = C₂

Aliases

Hall	C₃×C₅ ⋊ #106
Sylow	C₅ ⋊ C₃×#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:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 95);