Finite Group DatabasebetaFinite Group Databasebeta| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29×C3 |
| direct product | C2×C3⋊D3×#911 |
| Fitting | C2×C33×D8 ⋊ C22 |
| Sylow | C33 ⋊ C22×AGL(1,ℤ/8) |
11512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
216 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.