C₂²×C₄×(C₃⋊Dic₃)⋊C₃ #13153549

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

Aliases

derived	C₃² ⋊ C₂²×C₃×C₄²
Sylow	H(3,𝔽₃) ⋊ C₂²×C₄²

1979 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 19612);