Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#13104061 |
| Sylow | C52 ⋊ C2×C4×SD16 |
1306 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72220867, #72253312, #72253332 |
| maximal normal subgroup of | C2×#72220867, #72253312, #72253332 |
Past the SmallGroups library coverage — no SmallGroups id.