Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#16840612 |
| Sylow | C61 ⋊ C2×Q8⋊C8 |
280 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 106 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
356 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16840612, #30597553, #30597559, … |
| maximal normal subgroup of | C4×#16840612, #30597553, #30597559, … |
| maximal quotient of | C2×#21460638, C2×#21460640, #30595340, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19800);