C₃³×Dic₃ #66463

order	324
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₃³×C₄ · Schur multiplier (H₂) = C₃³

Aliases

direct product	C₃³×Dic₃
unambiguous semidirect product	C₃⋊(C₃³×C₄)

derived	C₃ ⋊ C₃³×C₄
Sylow	C₃⁴ ⋊ C₄

324 conjugacy classes of subgroups.

minimal degree	μ(G) = 16
transitive degree	μ_t(G) = 108

A minimal faithful permutation representation — 3 generators on 16 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(324, 155);