| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×C4×D9×C3⋊D3 |
| Fitting | C2×C32×C4×C9 ⋊ C22 |
| derived, Sylow | C32×C9 ⋊ C23×C4 |
2556 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
288 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D4×D9×C3⋊D3 |
| maximal normal subgroup of | C2×D4×D9×C3⋊D3 |
Past the SmallGroups library coverage — no SmallGroups id.