Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
584 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#13063353 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. C2×#13063321 | C2 | semidirect |
| 4. #14583367 | C2 | semidirect |
| 5. #14583098 | C2 | semidirect |
| 6. #14583093 | C2 | semidirect |
| 7. #14582922 | C2 | semidirect |
| 8. #14582903 | C2 | semidirect |
| 9. C43×#418 | C2 | semidirect |
| 15. C2×#10621873 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 17. C2×D344 | C22 | semidirect |
| 18. C2×#10621882 | C22 | semidirect |
| 23. #13063290 | C22 | semidirect |
| 24. #13063287 | C22 | semidirect |
| 29. Dic43⋊C8 | C22 | semidirect |
| 30. #13063245 | C22 | semidirect |
| 34. #102×C43 | C22 | semidirect |
| 48. #10621898 | D4 | semidirect |
| 101. D172 | C2×D4 | semidirect |
| 105. Dic86 | C2×D4 | semidirect |
| 125. Dic43 | AGL(1,ℤ/8) | semidirect |
| 141. #418 | D43 | semidirect |
| 142. C43 | #3038 | semidirect |
| 167. #102 | C2×D43 | semidirect |