Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C5 · Schur multiplier (H2) = C29 |
| direct product | C5×#10618096 |
| Fitting | C2×C52×#127 ⋊ C2 |
| Sylow | C52 ⋊ #3498 |
3994 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
500 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72258574 |
| maximal normal subgroup of | #72258574 |
Past the SmallGroups library coverage — no SmallGroups id.