Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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×#14519802 | C2 | semidirect |
| 3. #16840308 | C2 | semidirect |
| 4. C2×#14519739 | C2 | semidirect |
| 5. #16839980 | C2 | semidirect |
| 6. #16839976 | C2 | semidirect |
| 7. #16839966 | C2 | semidirect |
| 8. #16839956 | C2 | semidirect |
| 9. #16839785 | C2 | semidirect |
| 10. #16839761 | C2 | semidirect |
| 11. C61×#417 | C2 | semidirect |
| 22. #14519775 | C22 | semidirect |
| 23. #14519773 | C22 | semidirect |
| 24. #14519766 | C22 | semidirect |
| 25. #14519764 | C22 | semidirect |
| 36. #14519706 | C22 | semidirect |
| 37. #14519706 | C22 | semidirect |
| 38. #14519700 | C22 | semidirect |
| 39. #14519697 | C22 | semidirect |
| 43. #103×C61 | C22 | semidirect |
| 44. #102×C61 | C22 | semidirect |
| 63. C2×D244 | D4 | semidirect |
| 158. Dic61 | AGL(1,ℤ/8) | semidirect |
| 177. #417 | D61 | semidirect |
| 178. C61 | #3036 | semidirect |
| 209. #103 | C2×D61 | semidirect |
| 211. #102 | C2×D61 | semidirect |