C₂×C₃²×C₄×C₃⋊C₈ #13162356

order	1728
isoclinism	isoclinic class of D₃
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₄×C₈ · Schur multiplier (H₂) = C₂²×C₃×C₄

Aliases

C₂×C₃²×C₄×C₃⋊C₈

derived	C₃ ⋊ C₂×C₃²×C₄×C₈
Sylow	C₃³ ⋊ C₂×C₄×C₈

1404 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 28419);