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×#14519805 | C2 | semidirect |
| 2. C2×#14519797 | C2 | semidirect |
| 3. C22×#11758199 | C2 | semidirect |
| 4. #16840329 | C2 | semidirect |
| 5. #16840326 | C2 | semidirect |
| 6. #16840150 | C2 | semidirect |
| 7. #16840148 | C2 | semidirect |
| 8. #16840143 | C2 | semidirect |
| 9. #16840137 | C2 | semidirect |
| 10. #16839720 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 16. C2×#11758202 | C22 | semidirect |
| 17. C2×#11758190 | C22 | semidirect |
| 18. C2×#11758200 | C22 | semidirect |
| 19. C2×#11758201 | C22 | semidirect |
| 20. C2×D488 | C22 | semidirect |
| 24. C2×#11758199 | C22 | semidirect |
| 26. #14519773 | C22 | semidirect |
| 27. #14519773 | C22 | semidirect |
| 28. #14519766 | C22 | semidirect |
| 29. #14519764 | C22 | semidirect |
| 35. #14519687 | C22 | semidirect |
| 36. C8×Dic61 | C22 | semidirect |
| 40. C2×SD16×C61 | C22 | semidirect |
| 41. C2×D8×C61 | C22 | semidirect |
| 70. M16×C61 | D4 | semidirect |
| 83. C2×#92418 | D4 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 165. C61 | #3155 | semidirect |
| 177. C2×SD16 | C2×D61 | semidirect |
| 183. C2×D8 | C2×D61 | semidirect |
| 232. M16 | C22⋊D61 | semidirect |