Finite Group DatabasebetaFinite Group Databasebeta| order | 7808 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#16840685 |
| Sylow | C61 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 82 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
536 conjugacy classes — view the full character table.
| maximal subgroup of | #30594608, #30594610, #30594612, … |
| maximal normal subgroup of | #30594608, #30594610, #30594612, … |
| maximal quotient of | C2×#21460842, #30605746, C2×#21460849, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7808, 20850);