Finite Group DatabasebetaFinite Group Databasebeta| order | 12096 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C7×C8×C9 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×D3×C7×C8×C9 |
| Fitting | C3×C4×C7×C8×C9 ⋊ C2 |
| derived | C3 ⋊ C2×C4×C7×C8×C9 |
| Hall | C3×C7×C9 ⋊ C2×C4×C8 |
| Sylow | C3×C9 ⋊ C2×C4×C7×C8 |
1060 conjugacy classes of subgroups.
6048 conjugacy classes. The character table is too large to display.
| automorphism group of | C22×C29×C73 |
| outer automorphism group of | C22×C29×C73 |
Past the SmallGroups library coverage — no SmallGroups id.