Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#13105821 |
| Fitting | C2×C52×D8 ⋊ C22 |
| Sylow | C52 ⋊ C22×#135 |
3346 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72220867, #72242560, #72242598 |
| maximal normal subgroup of | C2×#72220867, #72242560, #72242598 |
Past the SmallGroups library coverage — no SmallGroups id.