Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C4×Q8×#1043 |
| Fitting | C4×C52×Q8 ⋊ C4 |
| Sylow | C52 ⋊ C42×Q8 |
2736 conjugacy classes of subgroups.
200 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#41×#1043, #550×#1043, #72258552 |
| maximal normal subgroup of | C4×#41×#1043, #550×#1043, #72258552 |
Past the SmallGroups library coverage — no SmallGroups id.