Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#16840619 |
| Sylow | C61 ⋊ C2×#330 |
232 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 74 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
338 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#16840619, #30597777, #30597784, … |
| maximal normal subgroup of | C4×#16840619, #30597777, #30597784, … |
| maximal quotient of | C2×#21460637, C2×#21460638, #30595361, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 19958);