Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | D5×#65767 |
| Fitting | C2×C52×D4 ⋊ C2×C4 |
| Sylow | C52 ⋊ C2×#418 |
2134 conjugacy classes of subgroups.
128 conjugacy classes — view the full character table.
| maximal subgroup of | #72221603, #72221619, #72221643, … |
| maximal normal subgroup of | #72221603, #72221619, #72221643, … |
Past the SmallGroups library coverage — no SmallGroups id.