C₃×C₄×Q₈×C₃⋊D₃ #13179322

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₄ · Schur multiplier (H₂) = C₂⁵×C₃

Aliases

C₃×C₄×Q₈×C₃⋊D₃

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

2068 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45385);