Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 131 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×#13063344 | C2 | semidirect |
| 2. C2×D8×D43 | C2 | semidirect |
| 3. #14583544 | C2 | semidirect |
| 4. #14583283 | C2 | semidirect |
| 5. #14583141 | C2 | semidirect |
| 6. #14583136 | C2 | semidirect |
| 7. #14583114 | C2 | semidirect |
| 8. #14583051 | C2 | semidirect |
| 9. #14583045 | C2 | semidirect |
| 10. C8×D172 | C2 | semidirect |
| 11. C4×D8×C43 | C2 | semidirect |
| 12. C2×#10621900 | C22 | semidirect |
| 15. C2×Dic172 | C22 | semidirect |
| 16. C2×#10621873 | C22 | semidirect |
| 17. C2×#10621883 | C22 | semidirect |
| 22. C2×C8×D43 | C22 | semidirect |
| 23. #13063313 | C22 | semidirect |
| 26. #13063300 | C22 | semidirect |
| 31. C4⋊(C43⋊C8) | C22 | semidirect |
| 32. #13063248 | C22 | semidirect |
| 33. #13063245 | C22 | semidirect |
| 35. (C2×D43)⋊C8 | C22 | semidirect |
| 37. C4×D4×C43 | C22 | semidirect |
| 38. #107×C43 | C22 | semidirect |
| 39. #102×C43 | C22 | semidirect |
| 40. C4×C8×C43 | C22 | semidirect |
| 57. D8×C43 | D4 | semidirect |
| 127. C2×D43 | #135 | semidirect |
| 153. C4×D8 | D43 | semidirect |
| 155. C43 | #3280 | semidirect |
| 175. C4×D4 | C2×D43 | semidirect |
| 177. #107 | C2×D43 | semidirect |
| 181. #102 | C2×D43 | semidirect |
| 184. C4×C8 | C2×D43 | semidirect |
| 206. D8 | D172 | semidirect |