Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#14519803 | C2 | semidirect |
| 2. #16840329 | C2 | semidirect |
| 3. #16840237 | C2 | semidirect |
| 4. #16839975 | C2 | semidirect |
| 5. #16839955 | C2 | semidirect |
| 6. #16839788 | C2 | semidirect |
| 7. #16839767 | C2 | semidirect |
| 8. #16839759 | C2 | semidirect |
| 9. C22×D8×C61 | C2 | semidirect |
| 12. C2×#11758200 | C22 | semidirect |
| 13. C2×#11758199 | C22 | semidirect |
| 15. #14519773 | C22 | semidirect |
| 16. #14519764 | C22 | semidirect |
| 20. D4×Dic61 | C22 | semidirect |
| 24. #14519706 | C22 | semidirect |
| 25. #14519702 | C22 | semidirect |
| 26. #14519699 | C22 | semidirect |
| 27. #14519698 | C22 | semidirect |
| 40. C2×D4×C61 | D4 | semidirect |
| 123. C22×D8 | D61 | semidirect |
| 131. C61 | #3041 | semidirect |
| 168. C2×D4 | C22⋊D61 | semidirect |