Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 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×#13063344 | C2 | semidirect |
| 2. C2×M16×D43 | C2 | semidirect |
| 3. #14583409 | C2 | semidirect |
| 4. #14583158 | C2 | semidirect |
| 5. #14583157 | C2 | semidirect |
| 6. #14583149 | C2 | semidirect |
| 7. #14583144 | C2 | semidirect |
| 8. #14583143 | C2 | semidirect |
| 9. #14582934 | C2 | semidirect |
| 10. #14582892 | C2 | semidirect |
| 11. C43×#469 | C2 | semidirect |
| 15. C2×Dic172 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 31. #13063258 | C22 | semidirect |
| 32. #13063257 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063248 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 36. C2×D8×C43 | C22 | semidirect |
| 39. #106×C43 | C22 | semidirect |
| 40. #102×C43 | C22 | semidirect |
| 80. C8×D43 | D4 | semidirect |
| 147. #469 | D43 | semidirect |
| 152. C43 | #3054 | semidirect |
| 158. C2×D8 | C2×D43 | semidirect |
| 177. #106 | C2×D43 | semidirect |
| 181. #102 | C2×D43 | semidirect |