Q₈×C₃⋊(C₃⋊(C₃⋊C₈)) #13163663

order	1728
automorphism	?
homology	Abelianization (H₁) = C₂²×C₈ · Schur multiplier (H₂) = C₂²×C₃³

Aliases

C₃³ ⋊ C₈×Q₈

1428 conjugacy classes of subgroups.

μ_t(G) = 1728

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

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1728, 29726);