C₄²×D₃×D₉ #13147694

order	1728
isoclinism	isoclinic class of D₃×D₉
automorphism	?
homology	Abelianization (H₁) = C₂²×C₄² · Schur multiplier (H₂) = C₂⁵×C₄

Aliases

C₄²×D₃×D₉

Fitting	C₃×C₄²×C₉ ⋊ C₂²
derived, Sylow	C₃×C₉ ⋊ C₂²×C₄²

1602 conjugacy classes of subgroups.

μ_t(G) = 288

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

maximal subgroup of	D₃×D₉×#127
maximal normal subgroup of	D₃×D₉×#127

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 13757);