C₂²×C₈×C₃⋊D₉ #13154306

order	1728
isoclinism	isoclinic class of C₃⋊D₉
automorphism	?
homology	Abelianization (H₁) = C₂³×C₈ · Schur multiplier (H₂) = C₂⁶×C₃

Aliases

C₂²×C₈×C₃⋊D₉

Fitting	C₂²×C₃×C₈×C₉ ⋊ C₂
derived, Sylow	C₃×C₉ ⋊ C₂³×C₈

1690 conjugacy classes of subgroups.

μ_t(G) = 864

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 20369);