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. #14583435 | C2 | semidirect |
| 2. C2×#13063287 | C2 | semidirect |
| 3. #14583217 | C2 | semidirect |
| 4. #14583202 | C2 | semidirect |
| 5. #14583117 | C2 | semidirect |
| 6. #14583049 | C2 | semidirect |
| 8. #14582984 | C2 | semidirect |
| 9. #14582981 | C2 | semidirect |
| 10. #14582949 | C2 | semidirect |
| 11. C43×#484 | C2 | semidirect |
| 17. #13063316 | C22 | semidirect |
| 18. #13063314 | C22 | semidirect |
| 21. Q8×Dic43 | C22 | semidirect |
| 26. #13063287 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 37. C8×Dic43 | C22 | semidirect |
| 40. #107×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 143. #484 | D43 | semidirect |
| 152. C43 | #3105 | semidirect |
| 174. #107 | C2×D43 | semidirect |
| 177. #103 | C2×D43 | semidirect |