Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11758224 | C2 | semidirect |
| 2. C2×#14519807 | C2 | semidirect |
| 3. #16840269 | C2 | semidirect |
| 4. #16839921 | C2 | semidirect |
| 5. #16839904 | C2 | semidirect |
| 6. #16839772 | C2 | semidirect |
| 7. #16839767 | C2 | semidirect |
| 8. #16839725 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C61 | C2 | semidirect |
| 19. C2×#11758202 | C22 | semidirect |
| 20. C2×#11758200 | C22 | semidirect |
| 23. #14519753 | C22 | semidirect |
| 24. #14519748 | C22 | semidirect |
| 28. #14519702 | C22 | semidirect |
| 29. #14519698 | C22 | semidirect |
| 30. #14519689 | C22 | semidirect |
| 34. C2×SD16×C61 | C22 | semidirect |
| 35. C2×D8×C61 | C22 | semidirect |
| 45. C2×D4×C61 | D4 | semidirect |
| 66. C2×Dic122 | D4 | semidirect |
| 148. C2×AGL(1,ℤ/8) | D61 | semidirect |
| 155. C61 | #3005 | semidirect |
| 170. C2×SD16 | C2×D61 | semidirect |
| 171. C2×D8 | C2×D61 | semidirect |
| 201. C2×D4 | C22⋊D61 | semidirect |