Finite Group DatabasebetaFinite Group Databasebeta| order | 9408 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26 |
| direct product | C2×D8×#64424 |
| Fitting | C2×C72×D8 ⋊ C2×C3 |
| Hall | C2×D8×C7⋊D7 ⋊ C3 |
| Hall | #3861 ⋊ C22×D8 |
| Sylow | C72 ⋊ C22×C3×D8 |
3380 conjugacy classes of subgroups.
| transitive degree | μt(G) = 784 |
196 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.