Finite Group DatabasebetaFinite Group Databasebeta| order | 5632 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C212 |
| direct product | D11×#23900 |
| Fitting | C11×#23900 ⋊ C2 |
| Sylow | C11 ⋊ C2×#23900 |
29984 conjugacy classes of subgroups.
| transitive degree | μt(G) = 176 |
322 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.