| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×#13105101 |
| Fitting | C2×C42×C52 ⋊ C22 |
| Sylow | C52 ⋊ C22×#124 |
4258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
296 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.