C₃²×C₈×D₁₂ #13162122

order	1728
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₈ · Schur multiplier (H₂) = C₂³×C₃

Aliases

C₃²×C₈×D₁₂

Fitting	C₃³×C₄×C₈ ⋊ C₂
Sylow	C₃³ ⋊ C₈×D₄

980 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 28185);