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×#14519802 | C2 | semidirect |
| 2. C22×#11758199 | C2 | semidirect |
| 3. #16840236 | C2 | semidirect |
| 4. #16839974 | C2 | semidirect |
| 5. #16839954 | C2 | semidirect |
| 6. #16839789 | C2 | semidirect |
| 7. #16839767 | C2 | semidirect |
| 8. #16839758 | C2 | semidirect |
| 9. C61×#535 | C2 | semidirect |
| 12. C2×#11758201 | C22 | semidirect |
| 15. C2×#11758199 | C22 | semidirect |
| 18. C4×D244 | C22 | semidirect |
| 22. C4⋊#92418 | C22 | semidirect |
| 23. #14519701 | C22 | semidirect |
| 24. #14519698 | C22 | semidirect |
| 25. #14519698 | C22 | semidirect |
| 28. #127×C61 | C22 | semidirect |
| 29. #124×C61 | C22 | semidirect |
| 49. C2×D244 | D4 | semidirect |
| 124. #535 | D61 | semidirect |
| 131. C61 | #3041 | semidirect |
| 142. #127 | C2×D61 | semidirect |
| 143. #124 | C2×D61 | semidirect |