C₂×C₃⋊(C₃⋊(C₉⋊C₈)) #13048007

order	1296
isoclinism	isoclinic class of C₃⋊(C₃⋊D₉)
automorphism	?
homology	Abelianization (H₁) = C₂×C₈ · Schur multiplier (H₂) = C₂×C₃³

Aliases

direct product	C₂×C₃⋊(C₃⋊(C₉⋊C₈))
unambiguous semidirect product	(C₂×C₃)⋊(C₃⋊(C₉⋊C₈))
unambiguous semidirect product	(C₂×C₉)⋊(C₃⋊(C₃⋊C₈))

C₃²×C₉ ⋊ C₂×C₈

550 conjugacy classes of subgroups.

μ_t(G) = 1296

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1296, 1725);