C₃²×#5047 #13162487

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃² · Schur multiplier (H₂) = C₂³×C₃

Aliases

Fitting	C₃³×C₂²⋊Q₈ ⋊ C₂
Sylow	C₃³ ⋊ #452

1208 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 28550);