Finite Group DatabasebetaFinite Group Databasebeta| order | 7776 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C26×C3 |
| direct product | C22×#14517678 |
| Fitting | C24×#6900 ⋊ C2 |
| Sylow | #6900 ⋊ C22×D4 |
6232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1296 |
444 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.