D₃×C₉⋊C₈ #88419

order	432
isoclinism	isoclinic class of D₃×D₉
automorphism	?
homology	Abelianization (H₁) = C₂×C₈ · Schur multiplier (H₂) = C₂

Aliases

direct product	D₃×C₉⋊C₈
unambiguous semidirect product	(D₃×C₉)⋊C₈

C₃×C₉ ⋊ C₂×C₈

74 conjugacy classes of subgroups.

minimal degree	μ(G) = 20
transitive degree	μ_t(G) = 144

A minimal faithful permutation representation — 2 generators on 20 points:

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(432, 66);