C₃×#3963 #91033

order	480
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₃×C₄² · Schur multiplier (H₂) = C₂³

Aliases

Hall	C₃×C₅ ⋊ #95
Sylow	C₅ ⋊ C₃×#95

152 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)(10,13,12,11)(15,17)(18,19,20);(2,3)(4,5)(6,9,8,7)(14,15)(16,17)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 109);