Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C5 |
| direct product | C2×#13107767 |
| Fitting | C22×C52×D4 ⋊ C4 |
| Sylow | C52 ⋊ C2×#518 |
5202 conjugacy classes of subgroups.
188 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72213412, #72223011, #72223026, … |
| maximal normal subgroup of | C2×#72213412, #72223011, #72223026, … |
Past the SmallGroups library coverage — no SmallGroups id.