C₃²×#5110 #13162545

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₄ · Schur multiplier (H₂) = C₂³×C₃

Aliases

Fitting	C₂²×C₃³×C₈ ⋊ C₂
Sylow	C₃³ ⋊ #408

1252 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 28608);