C₅×#830 #91073

order	480
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₈ · Schur multiplier (H₂) = C₂²

Aliases

Hall	C₃×C₅ ⋊ C₂²⋊C₈
Sylow	C₃ ⋊ C₅×C₂²⋊C₈

100 conjugacy classes of subgroups.

minimal degree	μ(G) = 20
transitive degree	μ_t(G) = 240

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

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 149);