Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#13104790 |
| Sylow | C52 ⋊ C22×#100 |
3968 conjugacy classes of subgroups; only the 390 normal subgroups are shown.
This group has 3968 conjugacy classes of subgroups — too many to draw. Only its 390 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
164 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72221208, C2×#72221214, C2×#100×#1043, … |
| maximal normal subgroup of | C2×#72221208, C2×#72221214, C2×#100×#1043, … |
Past the SmallGroups library coverage — no SmallGroups id.