Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C5 |
| direct product | C2×#13102877 |
| Fitting | C2×C4×C52×D4 ⋊ C2 |
| Sylow | C52 ⋊ C2×#442 |
2432 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1600 |
524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C5⋊D5×#442 |
| maximal normal subgroup of | C2×C5⋊D5×#442 |
Past the SmallGroups library coverage — no SmallGroups id.