Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
454 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 119 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×#13063287 | C2 | semidirect |
| 3. #14583234 | C2 | semidirect |
| 4. #14583198 | C2 | semidirect |
| 5. #14583113 | C2 | semidirect |
| 6. #14583052 | C2 | semidirect |
| 8. #14582986 | C2 | semidirect |
| 9. #14582979 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#481 | C2 | semidirect |
| 17. #13063316 | C22 | semidirect |
| 18. #13063312 | C22 | semidirect |
| 21. #13063290 | C22 | semidirect |
| 23. D4×Dic43 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. #13063248 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 40. #106×C43 | C22 | semidirect |
| 41. #102×C43 | C22 | semidirect |
| 144. #481 | D43 | semidirect |
| 152. C43 | #3105 | semidirect |
| 175. #106 | C2×D43 | semidirect |
| 180. #102 | C2×D43 | semidirect |