Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #16840194 | C2 | semidirect |
| 2. #16839602 | C2 | semidirect |
| 3. #16839600 | C2 | semidirect |
| 4. #16839599 | C2 | semidirect |
| 5. #16839597 | C2 | semidirect |
| 6. C2×#14519683 | C2 | semidirect |
| 7. C61×#508 | C2 | semidirect |
| 54. #508 | D61 | semidirect |
| 60. C61 | #2262 | semidirect |