Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14519799 | C2 | semidirect |
| 3. #16840329 | C2 | semidirect |
| 4. #16840150 | C2 | semidirect |
| 5. #16840145 | C2 | semidirect |
| 6. #16840137 | C2 | semidirect |
| 7. #16839717 | C2 | semidirect |
| 8. C22×D8×C61 | C2 | semidirect |
| 12. C2×Dic244 | C22 | semidirect |
| 13. C2×#11758190 | C22 | semidirect |
| 14. C2×#11758200 | C22 | semidirect |
| 15. C2×D488 | C22 | semidirect |
| 16. C2×#11758199 | C22 | semidirect |
| 18. #14519773 | C22 | semidirect |
| 19. #14519764 | C22 | semidirect |
| 23. #14519687 | C22 | semidirect |
| 24. C8×Dic61 | C22 | semidirect |
| 45. C2×C8×C61 | D4 | semidirect |
| 54. #11758194 | D4 | semidirect |
| 104. C22×D8 | D61 | semidirect |
| 110. C61 | #3155 | semidirect |
| 154. C2×C8 | C22⋊D61 | semidirect |