Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C27 · Schur multiplier (H2) = C220 |
| direct product | C22×D3×#577 |
| Fitting | C22×C3×#577 ⋊ C2 |
| Sylow | C3 ⋊ C23×#577 |
115540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
264 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.