Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
444 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 444 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. #14583451 | C2 | semidirect |
| 3. #14583235 | C2 | semidirect |
| 4. #14583232 | C2 | semidirect |
| 5. #14583177 | C2 | semidirect |
| 6. #14583102 | C2 | semidirect |
| 8. #14583000 | C2 | semidirect |
| 9. #14582996 | C2 | semidirect |
| 10. #14582953 | C2 | semidirect |
| 14. #13063324 | C22 | semidirect |
| 15. #13063323 | C22 | semidirect |
| 19. Q8×Dic43 | C22 | semidirect |
| 21. #13063290 | C22 | semidirect |
| 30. #13063259 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063249 | C22 | semidirect |
| 37. #13063235 | C22 | semidirect |
| 148. C43 | #3110 | semidirect |