| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42×C5 |
| direct product | C4×#11717451 |
| Fitting | C2×C42×C52 ⋊ C4 |
| Sylow | C52 ⋊ C4×#117 |
2002 conjugacy classes of subgroups.
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#13107559 |
| maximal normal subgroup of | C4×#13107559 |
Past the SmallGroups library coverage — no SmallGroups id.