C₂²×C₄⋊Dic₅ #66119

order	320
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁶

Aliases

418 conjugacy classes of subgroups.

minimal degree	μ(G) = 17
transitive degree	μ_t(G) = 320

A minimal faithful permutation representation — 4 generators on 17 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1457);