C₂×#4072 #66120

order	320
isoclinism	isoclinic class of Dic₁₀
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂⁴×C₄

Aliases

330 conjugacy classes of subgroups.

minimal degree	μ(G) = 19
transitive degree	μ_t(G) = 160

A minimal faithful permutation representation — 4 generators on 19 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(320, 1458);