Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
418 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 418 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 |
|---|---|---|
| 2. #16840242 | C2 | semidirect |
| 3. #16840089 | C2 | semidirect |
| 4. #16840088 | C2 | semidirect |
| 5. #16840082 | C2 | semidirect |
| 6. #16840077 | C2 | semidirect |
| 7. #16839805 | C2 | semidirect |
| 8. #16839766 | C2 | semidirect |
| 9. C2×#14519699 | C2 | semidirect |
| 10. #16839728 | C2 | semidirect |
| 11. C61×#427 | C2 | semidirect |
| 23. #14519735 | C22 | semidirect |
| 25. C4⋊C4×D61 | C22 | semidirect |
| 26. #14519710 | C22 | semidirect |
| 27. #14519708 | C22 | semidirect |
| 32. #14519689 | C22 | semidirect |
| 33. #14519689 | C22 | semidirect |
| 37. #107×C61 | C22 | semidirect |
| 38. #107×C61 | C22 | semidirect |
| 39. #106×C61 | C22 | semidirect |
| 40. #106×C61 | C22 | semidirect |
| 142. #427 | D61 | semidirect |
| 146. C61 | #3096 | semidirect |
| 165. #107 | C2×D61 | semidirect |
| 166. #107 | C2×D61 | semidirect |
| 168. #106 | C2×D61 | semidirect |
| 169. #106 | C2×D61 | semidirect |