Finite Group DatabasebetaFinite Group Databasebeta| order | 3072 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | #126×#126⋊C3 |
| Fitting, Sylow | #1262 ⋊ C3 |
3945 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #126⋊C32 |
| maximal normal subgroup of | #126⋊C32 |
Past the SmallGroups library coverage — no SmallGroups id.