C₃×#10592424 #13162764

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₈ · Schur multiplier (H₂) = C₂³×C₃

Aliases

Fitting	C₃³×C₂²⋊C₈ ⋊ C₂
Sylow	C₃³ ⋊ C₈×D₄

1004 conjugacy classes of subgroups.

μ_t(G) = 288

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 28827);