Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. C2×#13063283 | C2 | semidirect |
| 3. #14583239 | C2 | semidirect |
| 4. #14583227 | C2 | semidirect |
| 5. #14583226 | C2 | semidirect |
| 6. #14583217 | C2 | semidirect |
| 7. #14583213 | C2 | semidirect |
| 8. #14582936 | C2 | semidirect |
| 9. #14582894 | C2 | semidirect |
| 10. C22⋊C8×D43 | C2 | semidirect |
| 11. C43×#484 | C2 | semidirect |
| 30. #13063259 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 32. #13063256 | C22 | semidirect |
| 33. #13063249 | C22 | semidirect |
| 34. #13063247 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 40. #107×C43 | C22 | semidirect |
| 41. #103×C43 | C22 | semidirect |
| 147. #484 | D43 | semidirect |
| 155. C43 | #3091 | semidirect |
| 177. #107 | C2×D43 | semidirect |
| 181. #103 | C2×D43 | semidirect |