Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4 |
| direct product | D3×#21874 |
| Fitting | C3×#21874 ⋊ C2 |
| Sylow | C3 ⋊ C2×#21874 |
11100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 96 |
156 conjugacy classes — view the full character table.
| maximal subgroup of | D3×#6512843 |
| maximal normal subgroup of | D3×#6512843 |
Past the SmallGroups library coverage — no SmallGroups id.