Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
454 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583435 | C2 | semidirect |
| 2. C2×D4×Dic43 | C2 | semidirect |
| 3. #14583232 | C2 | semidirect |
| 4. #14583218 | C2 | semidirect |
| 5. #14583201 | C2 | semidirect |
| 6. #14583116 | C2 | semidirect |
| 8. SD16×Dic43 | C2 | semidirect |
| 9. #14582979 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#450 | C2 | semidirect |
| 15. #13063316 | C22 | semidirect |
| 16. #13063314 | C22 | semidirect |
| 19. Q8×Dic43 | C22 | semidirect |
| 24. #13063287 | C22 | semidirect |
| 30. #13063258 | C22 | semidirect |
| 31. #13063257 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063249 | C22 | semidirect |
| 34. #13063247 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 147. #450 | D43 | semidirect |
| 152. C43 | #3105 | semidirect |