Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
584 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 584 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×#14519805 | C2 | semidirect |
| 2. C2×#14519803 | C2 | semidirect |
| 3. C2×#14519773 | C2 | semidirect |
| 4. #16840230 | C2 | semidirect |
| 5. #16839961 | C2 | semidirect |
| 6. #16839956 | C2 | semidirect |
| 7. #16839785 | C2 | semidirect |
| 8. #16839766 | C2 | semidirect |
| 9. C61×#418 | C2 | semidirect |
| 15. C2×#11758190 | C22 | semidirect |
| 16. C2×#11758200 | C22 | semidirect |
| 17. C2×D488 | C22 | semidirect |
| 18. C2×#11758199 | C22 | semidirect |
| 23. #14519742 | C22 | semidirect |
| 24. #14519739 | C22 | semidirect |
| 29. #14519706 | C22 | semidirect |
| 30. #14519697 | C22 | semidirect |
| 34. #102×C61 | C22 | semidirect |
| 48. #11758222 | D4 | semidirect |
| 101. D244 | C2×D4 | semidirect |
| 105. Dic122 | C2×D4 | semidirect |
| 125. Dic61 | AGL(1,ℤ/8) | semidirect |
| 141. #418 | D61 | semidirect |
| 142. C61 | #3038 | semidirect |
| 167. #102 | C2×D61 | semidirect |