Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26×C3 |
| direct product | C2×C3⋊D3×D36 |
| Fitting | C2×C32×C4×C9 ⋊ C22 |
| Sylow | C32×C9 ⋊ C22×D4 |
2556 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
252 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D4×D9×C3⋊D3 |
| maximal normal subgroup of | C2×D4×D9×C3⋊D3 |
Past the SmallGroups library coverage — no SmallGroups id.