Finite Group DatabasebetaFinite Group Databasebeta| order | 2560 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C4 · Schur multiplier (H2) = C214 |
| direct product | D5×#60176 |
| Fitting | C5×#60176 ⋊ C2 |
| Sylow | C5 ⋊ C2×#60176 |
21780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
328 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.