Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
450 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14583430 | C2 | semidirect |
| 2. C2×D4×Dic43 | C2 | semidirect |
| 3. #14583230 | C2 | semidirect |
| 4. #14583210 | C2 | semidirect |
| 5. #14583201 | C2 | semidirect |
| 6. #14583112 | C2 | semidirect |
| 7. #14583050 | C2 | semidirect |
| 8. #14583011 | C2 | semidirect |
| 9. #14582996 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 15. #13063316 | C22 | semidirect |
| 16. #13063312 | C22 | semidirect |
| 19. #13063290 | C22 | semidirect |
| 25. D4×Dic43 | C22 | semidirect |
| 30. #13063258 | C22 | semidirect |
| 31. #13063257 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 37. #13063235 | C22 | semidirect |
| 152. C43 | #3114 | semidirect |