Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#13099850 |
| Sylow | C52 ⋊ C2×#346 |
562 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 562 conjugacy classes of subgroups — too many to draw. Only its 131 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 160 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #72242167, #72242251 |
| maximal normal subgroup of | #72242167, #72242251 |
| maximal quotient of | #72269166 |
Past the SmallGroups library coverage — no SmallGroups id.