C₈×C₄⋊((C₃⋊D₃)⋊C₃) #13141452

order	1728
isoclinism	isoclinic class of #634⋊C₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₈ · Schur multiplier (H₂) = C₂³×C₃

Aliases

direct product	C₈×C₄⋊((C₃⋊D₃)⋊C₃)
unambiguous semidirect product	(C₈×C₄⋊(C₃⋊D₃))⋊C₃

Fitting	C₄×C₈×H(3,𝔽₃) ⋊ C₂
Sylow	H(3,𝔽₃) ⋊ C₈×D₄

513 conjugacy classes of subgroups.

μ_t(G) = 288

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 7515);