Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
440 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 135 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. #14583452 | C2 | semidirect |
| 3. #14583202 | C2 | semidirect |
| 4. #14583198 | C2 | semidirect |
| 5. #14583188 | C2 | semidirect |
| 6. #14583178 | C2 | semidirect |
| 7. #14582939 | C2 | semidirect |
| 8. #14582922 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 15. #13063324 | C22 | semidirect |
| 16. #13063324 | C22 | semidirect |
| 17. #13063316 | C22 | semidirect |
| 18. #13063316 | C22 | semidirect |
| 30. #13063258 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. Dic43⋊C8 | C22 | semidirect |
| 41. #107×C43 | C22 | semidirect |
| 42. #106×C43 | C22 | semidirect |
| 50. C2×D172 | Q8 | semidirect |
| 146. #428 | D43 | semidirect |
| 150. C43 | #3077 | semidirect |
| 173. #107 | C2×D43 | semidirect |
| 175. #106 | C2×D43 | semidirect |