C₃³×C₂²⋊D₇ #13094848

order	1512
isoclinism	isoclinic class of Dic₁₄
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃³ · Schur multiplier (H₂) = C₂×C₃³

Aliases

C₃³×C₂²⋊D₇

448 conjugacy classes of subgroups.

minimal degree	μ(G) = 20
transitive degree	μ_t(G) = 756

A minimal faithful permutation representation — 3 generators on 20 points:

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

459 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1512, 745);