Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#13103800 |
| Fitting | C24×C52 ⋊ C2×C4 |
| Sylow | C52 ⋊ C22×#99 |
2598 conjugacy classes of subgroups.
140 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72221652, #72221752, #72221753 |
| maximal normal subgroup of | C2×#72221652, #72221752, #72221753 |
Past the SmallGroups library coverage — no SmallGroups id.