C₂²×C₄×D₃×D₉ #13164699

order	1728
isoclinism	isoclinic class of D₃×D₉
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

C₂²×C₄×D₃×D₉

Fitting	C₂²×C₃×C₄×C₉ ⋊ C₂²
derived, Sylow	C₃×C₉ ⋊ C₂⁴×C₄

4322 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, 30762);