Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C5 |
| direct product | C2×#13099498 |
| Sylow | C52 ⋊ C2×#347 |
672 conjugacy classes of subgroups.
| transitive degree | μt(G) = 800 |
524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×C5⋊D5×#347 |
| maximal normal subgroup of | C2×C5⋊D5×#347 |
Past the SmallGroups library coverage — no SmallGroups id.