Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
738 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 153 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. C22×Q8×D43 | C2 | semidirect |
| 2. C2×#13063358 | C2 | semidirect |
| 3. C2×#13063356 | C2 | semidirect |
| 5. #14583056 | C2 | semidirect |
| 6. #14583039 | C2 | semidirect |
| 7. #14582907 | C2 | semidirect |
| 8. #14582862 | C2 | semidirect |
| 9. C43×#419 | C2 | semidirect |
| 21. C2×Dic172 | C22 | semidirect |
| 22. C2×#10621885 | C22 | semidirect |
| 23. C2×#10621873 | C22 | semidirect |
| 24. C2×#10621884 | C22 | semidirect |
| 31. #13063248 | C22 | semidirect |
| 36. #103×C43 | C22 | semidirect |
| 40. C2×Q8×C43 | D4 | semidirect |
| 65. C2×Dic86 | D4 | semidirect |
| 127. C2×D43 | #137 | semidirect |
| 149. #419 | D43 | semidirect |
| 151. C43 | #3004 | semidirect |
| 177. #103 | C2×D43 | semidirect |
| 194. C2×Q8 | D172 | semidirect |