Finite Group DatabasebetaFinite Group Databasebeta| order | 9408 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C210 |
| direct product | C22×D4×#64424 |
| Fitting | C22×C72×D4 ⋊ C2×C3 |
| Hall | C22×D4×C7⋊D7 ⋊ C3 |
| Hall | #3861 ⋊ C23×D4 |
| Sylow | C72 ⋊ C23×C3×D4 |
13620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 784 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D3×D4×#64424 |
| maximal quotient of | C2×D3×D4×#64424 |
Past the SmallGroups library coverage — no SmallGroups id.