Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
| direct product | D5×#65779 |
| Fitting | C2×C52×D4 ⋊ C2×C4 |
| Sylow | C52 ⋊ C2×#386 |
3270 conjugacy classes of subgroups.
152 conjugacy classes — view the full character table.
| maximal subgroup of | #72221729 |
| maximal normal subgroup of | #72221729 |
| maximal quotient of | #72221603, #72221622, #72221698, … |
Past the SmallGroups library coverage — no SmallGroups id.