C₉×C₂²⋊(C₄²⋊C₃) #13152241

order	1728
isoclinism	isoclinic class of C₂²⋊(C₄²⋊C₃)
automorphism	?
homology	Abelianization (H₁) = C₃×C₉ · Schur multiplier (H₂) = C₂³×C₃×C₄

Aliases

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

357 conjugacy classes of subgroups.

μ_t(G) = 216

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 18304);