C₃²×D₃×H(5,𝔽₂) #13181724

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂⁵×C₃² · Schur multiplier (H₂) = C₂⁹×C₃

Aliases

Fitting	C₃³×H(5,𝔽₂) ⋊ C₂
Sylow	C₃³ ⋊ C₂×H(5,𝔽₂)

6052 conjugacy classes of subgroups.

μ_t(G) = 144

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 47787);