| order | 1728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C32×C4 · Schur multiplier (H2) = C23×C3 |
| direct product | C32×D3×#100 |
| Fitting | C33×#100 ⋊ C2 |
| Sylow | C33 ⋊ C2×#100 |
1300 conjugacy classes of subgroups.
| transitive degree | μt(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, 28243);