Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×#11716936 |
| Sylow | C52 ⋊ C23×M16 |
4802 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
368 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22×#13103905 |
| maximal normal subgroup of | C22×#13103905 |
| maximal quotient of | C22×#13100501 |
Past the SmallGroups library coverage — no SmallGroups id.