C₃²×#5594 #13178971

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₃² · Schur multiplier (H₂) = C₂²×C₃×C₄²

Aliases

Fitting	C₃³×#120 ⋊ C₂
Sylow	C₃³ ⋊ H(3,𝔽₄)

2080 conjugacy classes of subgroups.

μ_t(G) = 144

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 45034);