Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#13104060 |
| Sylow | C52 ⋊ C2×#440 |
1514 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1514 conjugacy classes of subgroups — too many to draw. Only its 203 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
92 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72213282, #72223003, #72223398, … |
| maximal normal subgroup of | C2×#72213282, #72223003, #72223398, … |
| maximal quotient of | #72226592, D3×#13104060 |
Past the SmallGroups library coverage — no SmallGroups id.