Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063372 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. C22×#10621883 | C2 | semidirect |
| 4. #14583042 | C2 | semidirect |
| 5. #14583037 | C2 | semidirect |
| 6. #14582907 | C2 | semidirect |
| 7. #14582893 | C2 | semidirect |
| 8. #14582866 | C2 | semidirect |
| 9. C43×#535 | C2 | semidirect |
| 13. C2×#10621898 | C22 | semidirect |
| 17. C22×Dic86 | C22 | semidirect |
| 26. #13063248 | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 28. #13063245 | C22 | semidirect |
| 29. C22⋊(C43⋊C8) | C22 | semidirect |
| 60. #10621898 | D4 | semidirect |
| 69. C2×Dic86 | D4 | semidirect |
| 149. #535 | D43 | semidirect |
| 155. C43 | #3010 | semidirect |