Finite Group DatabasebetaFinite Group DatabasebetaOrder 7808.
464 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 189 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. C2×#14519783 | C2 | semidirect |
| 3. #16839885 | C2 | direct (N × H) |
| 4. C2×#14519713 | C2 | semidirect |
| 5. C2×#14519705 | C2 | semidirect |
| 6. C2×#97×C61 | C2 | semidirect |
| 8. #14519799 | C4 | semidirect |
| 10. C2×Dic244 | C4 | semidirect |
| 11. C2×#11758190 | C4 | semidirect |
| 12. C2×D488 | C4 | semidirect |
| 14. #14519783 | C22 | semidirect |
| 18. #14519713 | C22 | semidirect |
| 19. #14519705 | C22 | semidirect |
| 23. #97×C61 | C22 | semidirect |
| 46. Dic244 | C2×C4 | semidirect |
| 47. D488 | C2×C4 | semidirect |
| 48. #11758190 | C2×C4 | semidirect |
| 89. C2×C61 | #444 | semidirect |
| 97. C2×#97 | D61 | semidirect |
| 98. C61 | C2×#444 | semidirect |
| 115. #97 | C2×D61 | semidirect |
| 181. C2 | #16839885 | direct (N × H) |