Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
366 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 117 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. #16840460 | C2 | semidirect |
| 2. #16840163 | C2 | semidirect |
| 3. #16840089 | C2 | semidirect |
| 4. #16840080 | C2 | semidirect |
| 5. #16840065 | C2 | semidirect |
| 6. #16839999 | C2 | semidirect |
| 7. #16839998 | C2 | semidirect |
| 8. #16839844 | C2 | semidirect |
| 9. C8×C22⋊D61 | C2 | semidirect |
| 10. #16839799 | C2 | semidirect |
| 11. C2×#107×C61 | C2 | semidirect |
| 131. C2×#107 | D61 | semidirect |
| 132. C61 | #3339 | semidirect |