Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | #532×#1043 |
| Fitting | C52×#532 ⋊ C4 |
| Sylow | C52 ⋊ C4×#532 |
14104 conjugacy classes of subgroups.
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1043×#3151, #1043×#3184 |
| maximal normal subgroup of | #1043×#3151, #1043×#3184 |
| maximal quotient of | #1043×#3184 |
Past the SmallGroups library coverage — no SmallGroups id.