Finite Group DatabasebetaFinite Group Databasebeta| order | 2376 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9×C11 · Schur multiplier (H2) = C23 |
| direct product | C22×D3×C9×C11 |
| Fitting | C22×C3×C9×C11 ⋊ C2 |
| derived | C3 ⋊ C23×C9×C11 |
| Hall | C3×C9×C11 ⋊ C23 |
| Sylow | C3×C9 ⋊ C23×C11 |
212 conjugacy classes of subgroups.
1188 conjugacy classes. The character table is too large to display.
| automorphism group of | C22×C19×C23, C22×C23×C27 |
| outer automorphism group of | C22×C19×C23, C22×C23×C27 |
Past the SmallGroups library coverage — no SmallGroups id.