C₂²×C₄×3₋¹⁺²⋊C₄ #13153561

order	1728
isoclinism	isoclinic class of AGL(1,ℤ/9)
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

derived	C₉ ⋊ C₂²×C₃×C₄²
Sylow	3₋¹⁺² ⋊ C₂²×C₄²

1612 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, 19624);