C₂×#3947 #65389

order	320
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂×C₄² · Schur multiplier (H₂) = C₂³

Aliases

146 conjugacy classes of subgroups.

minimal degree	μ(G) = 19
transitive degree	μ_t(G) = 320

A minimal faithful permutation representation — 3 generators on 19 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 727);