Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24×C5 |
| direct product | C5⋊D5×#1333 |
| Fitting | C52×#1333 ⋊ C2 |
| Sylow | C52 ⋊ C2×#1333 |
1848 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1600 |
448 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C5⋊D5×#12067, #1043×#1333, #72253190 |
| maximal normal subgroup of | C5⋊D5×#12067, #1043×#1333, #72253190 |
Past the SmallGroups library coverage — no SmallGroups id.