Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | #124×#1043 |
| Fitting | C52×#124 ⋊ C4 |
| Sylow | C52 ⋊ C4×#124 |
2608 conjugacy classes of subgroups.
140 conjugacy classes — view the full character table.
| maximal subgroup of | #72221134, #496×#1043, #532×#1043, … |
| maximal normal subgroup of | #72221134, #496×#1043, #532×#1043, … |
| maximal quotient of | #72223284, #486×#1043 |
Past the SmallGroups library coverage — no SmallGroups id.