Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D43 | C2 | semidirect |
| 2. C2×#13063331 | C2 | semidirect |
| 3. #14583465 | C2 | semidirect |
| 4. #14583151 | C2 | semidirect |
| 5. #14583150 | C2 | semidirect |
| 6. #14583136 | C2 | semidirect |
| 7. #14583135 | C2 | semidirect |
| 8. #14583132 | C2 | semidirect |
| 9. #14582936 | C2 | semidirect |
| 10. #14582902 | C2 | semidirect |
| 11. C43×#466 | C2 | semidirect |
| 18. C2×#10621877 | C22 | semidirect |
| 20. C2×#10621872 | C22 | semidirect |
| 22. C2×C8×D43 | C22 | semidirect |
| 25. #13063300 | C22 | semidirect |
| 26. #13063299 | C22 | semidirect |
| 27. #13063296 | C22 | semidirect |
| 31. #13063259 | C22 | semidirect |
| 32. #13063256 | C22 | semidirect |
| 33. #13063247 | C22 | semidirect |
| 34. #13063246 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 37. C22×C8×C43 | C22 | semidirect |
| 38. #121×C43 | C22 | semidirect |
| 39. #107×C43 | C22 | semidirect |
| 40. #102×C43 | C22 | semidirect |
| 80. C8×D43 | D4 | semidirect |
| 159. #466 | D43 | semidirect |
| 162. C43 | #3058 | semidirect |
| 175. C22×C8 | C2×D43 | semidirect |
| 181. #121 | C2×D43 | semidirect |
| 186. #107 | C2×D43 | semidirect |
| 191. #102 | C2×D43 | semidirect |