Finite Group DatabasebetaFinite Group Databasebeta| order | 3456 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C26×C3 |
| direct product | C3×C3⋊D3×#442 |
| Fitting | C33×#442 ⋊ C2 |
| Sylow | C33 ⋊ C2×#442 |
4176 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
396 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #442×C3⋊AGL(1,ℤ/9), D3×C3⋊D3×#442 |
| maximal normal subgroup of | D3×C3⋊D3×#442 |
| maximal quotient of | #442×C3⋊AGL(1,ℤ/9) |
Past the SmallGroups library coverage — no SmallGroups id.