D₃×C₉² #92247

order	486
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₉² · Schur multiplier (H₂) = C₉

Aliases

direct product	D₃×C₉²
unambiguous semidirect product	C₃⋊(C₂×C₉²)

Fitting, Sylow	C₃×C₉² ⋊ C₂
derived	C₃ ⋊ C₂×C₉²

132 conjugacy classes of subgroups.

minimal degree	μ(G) = 21
transitive degree	μ_t(G) = 162

A minimal faithful permutation representation — 2 generators on 21 points:

(2,3)(13,14,16,15,17,19,18,20,21);(1,2,3)(4,5,7,6,8,10,9,11,12)

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(486, 92);