Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #16840393 | C2 | semidirect |
| 3. #16840125 | C2 | semidirect |
| 4. #16840123 | C2 | semidirect |
| 5. #16840118 | C2 | semidirect |
| 6. #16840107 | C2 | semidirect |
| 7. #16839768 | C2 | semidirect |
| 8. #16839758 | C2 | semidirect |
| 9. C2×#14519697 | C2 | semidirect |
| 10. #16839720 | C2 | semidirect |
| 11. C61×#417 | C2 | semidirect |
| 15. #14519776 | C22 | semidirect |
| 18. #14519768 | C22 | semidirect |
| 26. #14519701 | C22 | semidirect |
| 27. #14519701 | C22 | semidirect |
| 30. #14519698 | C22 | semidirect |
| 31. #14519698 | C22 | semidirect |
| 34. #14519687 | C22 | semidirect |
| 35. C8×Dic61 | C22 | semidirect |
| 39. #103×C61 | C22 | semidirect |
| 40. #102×C61 | C22 | semidirect |
| 143. #417 | D61 | semidirect |
| 147. C61 | #3136 | semidirect |
| 167. #103 | C2×D61 | semidirect |
| 174. #102 | C2×D61 | semidirect |