C₈×D₂₀ #64975

order	320
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂³

Aliases

C₈×D₂₀

Fitting	C₄×C₅×C₈ ⋊ C₂
Sylow	C₅ ⋊ C₈×D₄

134 conjugacy classes of subgroups.

minimal degree	μ(G) = 17
transitive degree	μ_t(G) = 160

A minimal faithful permutation representation — 3 generators on 17 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 313);