Finite Group DatabasebetaFinite Group Databasebeta| order | 9408 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D3×#13096284 |
| Hall | C3×C72 ⋊ C22×M16 |
| Sylow | C72 ⋊ C2×D3×M16 |
| Sylow | C3 ⋊ C2×#13096284 |
1900 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
456 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.