C₂²×C₃×D₃×C₃⋊C₈ #13174407

order	1728
isoclinism	isoclinic class of D₃²
automorphism	?
homology	Abelianization (H₁) = C₂³×C₃×C₈ · Schur multiplier (H₂) = C₂⁶

Aliases

C₂²×C₃×D₃×C₃⋊C₈

derived	C₃² ⋊ C₂³×C₃×C₈
Sylow	C₃³ ⋊ C₂³×C₈

1794 conjugacy classes of subgroups.

μ_t(G) = 192

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 40470);