| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C32 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×C32×#5077 |
| Fitting | C2×C33×#127 ⋊ C2 |
| Sylow | C33 ⋊ C2×#453 |
7056 conjugacy classes of subgroups.
| transitive degree | μt(G) = 144 |
540 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.