Finite Group DatabasebetaFinite Group Databasebeta| order | 5632 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
| direct product | D11×#18524 |
| Fitting | C11×#18524 ⋊ C2 |
| Sylow | C11 ⋊ C2×#18524 |
12664 conjugacy classes of subgroups.
| transitive degree | μt(G) = 352 |
280 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.