C₄²×D₃×C₃⋊D₃ #13175387

order	1728
isoclinism	isoclinic class of D₃×C₃⋊D₃
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₃×C₄

Aliases

C₄²×D₃×C₃⋊D₃

Fitting	C₃³×C₄² ⋊ C₂²
derived, Sylow	C₃³ ⋊ C₂²×C₄²

3420 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 41450);