Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#13106533 |
| Sylow | C52 ⋊ C22×#131 |
3898 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72221297, #72242680, C2×#72221300 |
| maximal normal subgroup of | C2×#72221297, #72242680, C2×#72221300 |
Past the SmallGroups library coverage — no SmallGroups id.