Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 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. C22×#11758199 | C2 | semidirect |
| 3. #16840331 | C2 | semidirect |
| 4. #16839977 | C2 | semidirect |
| 5. #16839957 | C2 | semidirect |
| 6. #16839789 | C2 | semidirect |
| 7. #16839766 | C2 | semidirect |
| 8. #16839756 | C2 | semidirect |
| 9. C61×#518 | C2 | semidirect |
| 13. C2×#11758200 | C22 | semidirect |
| 16. C2×#11758199 | C22 | semidirect |
| 19. #14519774 | C22 | semidirect |
| 20. #14519765 | C22 | semidirect |
| 23. C4⋊#92418 | C22 | semidirect |
| 24. #14519700 | C22 | semidirect |
| 25. #14519697 | C22 | semidirect |
| 26. #14519697 | C22 | semidirect |
| 29. C4×D4×C61 | C22 | semidirect |
| 37. C2×D4×C61 | D4 | semidirect |
| 125. #518 | D61 | semidirect |
| 131. C61 | #3041 | semidirect |
| 147. C4×D4 | C2×D61 | semidirect |
| 169. C2×D4 | D244 | semidirect |