Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
520 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 520 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×#13063299 | C2 | semidirect |
| 2. #14583212 | C2 | semidirect |
| 3. #14583210 | C2 | semidirect |
| 4. #14583133 | C2 | semidirect |
| 5. #14583033 | C2 | semidirect |
| 6. #14583032 | C2 | semidirect |
| 7. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 8. C2×#121×C43 | C2 | semidirect |
| 9. C22×D172 | C22 | semidirect |
| 11. C2×#10621882 | C22 | semidirect |
| 12. C22×C43⋊C8 | C22 | semidirect |
| 16. #13063299 | C22 | semidirect |
| 17. C2×C4⋊Dic43 | C22 | semidirect |
| 19. #13063258 | C22 | semidirect |
| 20. #13063246 | C22 | semidirect |
| 21. #13063245 | C22 | semidirect |
| 22. C22⋊(C43⋊C8) | C22 | semidirect |
| 23. C22⋊(C43⋊C8) | C22 | semidirect |
| 25. C22×D4×C43 | C22 | semidirect |
| 30. #121×C43 | C22 | semidirect |
| 31. C2×C4⋊C4×C43 | C22 | semidirect |
| 74. C23×C43 | D8 | semidirect |
| 140. C2×#121 | D43 | semidirect |
| 147. C43 | #3186 | semidirect |
| 151. C22×D4 | C2×D43 | semidirect |
| 162. #121 | C2×D43 | semidirect |
| 164. C2×C4⋊C4 | C2×D43 | semidirect |
| 217. C23 | #10621882 | semidirect |