Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #123×#1043 |
| Fitting | C52×#123 ⋊ C4 |
| Sylow | C52 ⋊ C4×#123 |
2752 conjugacy classes of subgroups.
140 conjugacy classes — view the full character table.
| maximal subgroup of | #525×#1043, #534×#1043, #72258374 |
| maximal normal subgroup of | #525×#1043, #534×#1043, #72258374 |
Past the SmallGroups library coverage — no SmallGroups id.