Finite Group DatabasebetaFinite Group Databasebeta| order | 6400 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23×C5 |
| direct product | C5⋊D5×#1368 |
| Fitting | C52×#1368 ⋊ C2 |
| Sylow | C52 ⋊ C2×#1368 |
1016 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3200 |
448 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #1043×#1368, C5⋊D5×#12067, #72253131 |
| maximal normal subgroup of | #1043×#1368, C5⋊D5×#12067, #72253131 |
Past the SmallGroups library coverage — no SmallGroups id.