C₅×C₃⋊#95 #91074

order	480
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₄²×C₅ · Schur multiplier (H₂) = C₂³

Aliases

direct product	C₅×C₃⋊#95
unambiguous semidirect product	C₃⋊(C₅×#95)

Hall	C₃×C₅ ⋊ #95
Sylow	C₃ ⋊ C₅×#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:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 150);