Finite Group DatabasebetaFinite Group Databasebeta| order | 9408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | C2×D3×#11716115 |
| Fitting | C23×C3×C72 ⋊ C23 |
| Hall | C3×C72 ⋊ C23×D4 |
| Sylow | C72 ⋊ C22×D3×D4 |
| Sylow | C3 ⋊ C22×#11716115 |
7692 conjugacy classes of subgroups.
| transitive degree | μt(G) = 168 |
456 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×#72210376 |
| maximal normal subgroup of | C2×D3×#72210376 |
Past the SmallGroups library coverage — no SmallGroups id.