Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C25×C4 |
| direct product | C8×D4×#1043 |
| Fitting | C52×C8×D4 ⋊ C4 |
| Sylow | C52 ⋊ C4×C8×D4 |
5688 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1043×#1580 |
| maximal normal subgroup of | #1043×#1580 |
| maximal quotient of | #1043×#1580 |
Past the SmallGroups library coverage — no SmallGroups id.