Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×C8×D43 | C2 | semidirect |
| 3. #14583409 | C2 | semidirect |
| 4. #14583141 | C2 | semidirect |
| 5. #14583140 | C2 | semidirect |
| 6. #14583132 | C2 | semidirect |
| 7. #14583127 | C2 | semidirect |
| 8. #14583126 | C2 | semidirect |
| 9. #14582936 | C2 | semidirect |
| 10. #14582892 | C2 | semidirect |
| 11. C43×#466 | C2 | semidirect |
| 15. C2×Dic172 | C22 | semidirect |
| 16. C2×#10621883 | C22 | semidirect |
| 31. #13063259 | C22 | semidirect |
| 32. #13063256 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063248 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 36. C2×D8×C43 | C22 | semidirect |
| 39. #107×C43 | C22 | semidirect |
| 40. #102×C43 | C22 | semidirect |
| 80. C8×D43 | D4 | semidirect |
| 121. C22×C43 | #135 | semidirect |
| 129. C2×D43 | #135 | semidirect |
| 152. #466 | D43 | semidirect |
| 157. C43 | #3050 | semidirect |
| 163. C2×D8 | C2×D43 | semidirect |
| 181. #107 | C2×D43 | semidirect |
| 186. #102 | C2×D43 | semidirect |
| 274. C22 | #13063344 | semidirect |