Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14519802 | C2 | semidirect |
| 3. #16840529 | C2 | semidirect |
| 4. #16840030 | C2 | semidirect |
| 5. #16840027 | C2 | semidirect |
| 6. #16839810 | C2 | semidirect |
| 7. #16839746 | C2 | semidirect |
| 8. C2×#14519693 | C2 | semidirect |
| 9. C61×#575 | C2 | semidirect |
| 16. C2×#11758201 | C22 | semidirect |
| 18. C2×#11758199 | C22 | semidirect |
| 20. #14519784 | C22 | semidirect |
| 25. #14519712 | C22 | semidirect |
| 26. #14519696 | C22 | semidirect |
| 27. #14519694 | C22 | semidirect |
| 28. #14519693 | C22 | semidirect |
| 32. #137×C61 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C61 | C22 | semidirect |
| 148. #575 | D61 | semidirect |
| 157. C61 | #3068 | semidirect |
| 162. #137 | C2×D61 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D61 | semidirect |