C₃²×D₃×C₄⋊Q₈ #13179101

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃² · Schur multiplier (H₂) = C₂⁵×C₃

Aliases

C₃²×D₃×C₄⋊Q₈

Fitting	C₃³×C₄⋊Q₈ ⋊ C₂
Sylow	C₃³ ⋊ C₂×C₄⋊Q₈

2012 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45164);