Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 123 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×#13063347 | C2 | semidirect |
| 2. C2×D8×D43 | C2 | semidirect |
| 3. #14583546 | C2 | semidirect |
| 4. #14583282 | C2 | semidirect |
| 5. #14583141 | C2 | semidirect |
| 6. #14583113 | C2 | semidirect |
| 7. #14583051 | C2 | semidirect |
| 8. #14583042 | C2 | semidirect |
| 9. #14582981 | C2 | semidirect |
| 10. C8×C22⋊D43 | C2 | semidirect |
| 11. C43×#466 | C2 | semidirect |
| 12. C2×#10621898 | C22 | semidirect |
| 15. C2×Dic172 | C22 | semidirect |
| 16. C2×#10621873 | C22 | semidirect |
| 17. C2×#10621883 | C22 | semidirect |
| 22. #13063312 | C22 | semidirect |
| 27. #13063287 | C22 | semidirect |
| 30. Dic43⋊C8 | C22 | semidirect |
| 31. #13063248 | C22 | semidirect |
| 32. #13063245 | C22 | semidirect |
| 33. C22⋊(C43⋊C8) | C22 | semidirect |
| 35. C8×Dic43 | C22 | semidirect |
| 37. C22×C8×C43 | C22 | semidirect |
| 38. #121×C43 | C22 | semidirect |
| 39. #107×C43 | C22 | semidirect |
| 40. #102×C43 | C22 | semidirect |
| 77. D344 | D4 | semidirect |
| 127. C2×D43 | #135 | semidirect |
| 149. #466 | D43 | semidirect |
| 155. C43 | #3280 | semidirect |
| 167. C22×C8 | C2×D43 | semidirect |
| 172. #121 | C2×D43 | semidirect |
| 177. #107 | C2×D43 | semidirect |
| 181. #102 | C2×D43 | semidirect |