Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | D3×#61110 |
| Fitting | C3×#61110 ⋊ C2 |
| Sylow | C3 ⋊ C2×#61110 |
20908 conjugacy classes of subgroups.
156 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#489347, #72219759, D9×#61110, … |
| maximal normal subgroup of | D3×#489347 |
| maximal quotient of | #72215117, #72219759, D9×#61110 |
| holomorph of | C3×SD16 |
Past the SmallGroups library coverage — no SmallGroups id.