Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
458 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 185 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 |
|---|---|---|
| 2. #16840528 | C2 | semidirect |
| 3. #16839885 | C2 | semidirect |
| 4. #16839880 | C2 | semidirect |
| 5. #16839811 | C2 | semidirect |
| 6. C2×#14519705 | C2 | semidirect |
| 7. C4×M16×C61 | C2 | semidirect |
| 9. #14519810 | C4 | semidirect |
| 10. #14519805 | C4 | semidirect |
| 13. #14519783 | C22 | semidirect |
| 16. #14519713 | C22 | semidirect |
| 17. #14519705 | C22 | semidirect |
| 18. #14519705 | C22 | semidirect |
| 22. #97×C61 | C22 | semidirect |
| 23. C4×C8×C61 | C22 | semidirect |
| 44. Dic244 | C2×C4 | semidirect |
| 45. D488 | C2×C4 | semidirect |
| 46. #11758190 | C2×C4 | semidirect |
| 92. C4×M16 | D61 | semidirect |
| 93. C61 | #2956 | semidirect |
| 108. #97 | C2×D61 | semidirect |
| 109. C4×C8 | C2×D61 | semidirect |