Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 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. C2×#14519825 | C2 | semidirect |
| 2. C2×#14519803 | C2 | semidirect |
| 3. #16840329 | C2 | semidirect |
| 4. #16839906 | C2 | semidirect |
| 5. #16839899 | C2 | semidirect |
| 6. #16839771 | C2 | semidirect |
| 7. #16839759 | C2 | semidirect |
| 8. #16839728 | C2 | semidirect |
| 9. C22×SD16×C61 | C2 | semidirect |
| 13. C2×#11758226 | C22 | semidirect |
| 18. C2×Q8×D61 | C22 | semidirect |
| 28. #14519702 | C22 | semidirect |
| 29. #14519701 | C22 | semidirect |
| 30. #14519699 | C22 | semidirect |
| 31. #14519689 | C22 | semidirect |
| 40. C2×Q8×C61 | D4 | semidirect |
| 61. #11758222 | D4 | semidirect |
| 148. C22×SD16 | D61 | semidirect |
| 155. C61 | #3010 | semidirect |
| 200. C2×Q8 | C22⋊D61 | semidirect |