C₂²×C₉×(C₂×D₃)⋊C₄ #13153542

order	1728
isoclinism	isoclinic class of Dic₆
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄×C₉ · Schur multiplier (H₂) = C₂⁷

Aliases

Fitting	C₂³×C₃×C₄×C₉ ⋊ C₂
Sylow	C₃×C₉ ⋊ C₂²×C₂²⋊C₄

2258 conjugacy classes of subgroups.

μ_t(G) = 576

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 19605);