Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| direct product | C2×#16840606 |
| Sylow | C61 ⋊ C2×#323 |
456 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
524 conjugacy classes — view the full character table.
| maximal subgroup of | #30594544, #30594546, #30597444, … |
| maximal normal subgroup of | #30594544, #30594546, #30597444, … |
| maximal quotient of | C2×#21460636, C2×#21460640, #30595344, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19737);