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. C22×#11758199 | C2 | semidirect |
| 2. #16840326 | C2 | semidirect |
| 3. #16840237 | C2 | semidirect |
| 4. #16839979 | C2 | semidirect |
| 5. #16839955 | C2 | semidirect |
| 6. #16839790 | C2 | semidirect |
| 7. #16839768 | C2 | semidirect |
| 8. #16839758 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 14. #14519773 | C22 | semidirect |
| 15. #14519766 | C22 | semidirect |
| 19. D4×Dic61 | C22 | semidirect |
| 23. #14519706 | C22 | semidirect |
| 24. #14519701 | C22 | semidirect |
| 25. #14519699 | C22 | semidirect |
| 26. #14519698 | C22 | semidirect |
| 30. C2×SD16×C61 | C22 | semidirect |
| 31. C2×D8×C61 | C22 | semidirect |
| 41. C2×D4×C61 | D4 | semidirect |
| 122. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 131. C61 | #3041 | semidirect |
| 136. C2×SD16 | C2×D61 | semidirect |
| 139. C2×D8 | C2×D61 | semidirect |
| 168. C2×D4 | C22⋊D61 | semidirect |