Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063373 | C2 | semidirect |
| 2. C2×#13063353 | C2 | semidirect |
| 3. C22×#10621884 | C2 | semidirect |
| 4. #14583468 | C2 | semidirect |
| 5. #14583047 | C2 | semidirect |
| 6. #14583039 | C2 | semidirect |
| 7. #14582893 | C2 | semidirect |
| 8. #14582867 | C2 | semidirect |
| 9. C43×#419 | C2 | semidirect |
| 13. C2×#10621902 | C22 | semidirect |
| 18. C2×Q8×D43 | C22 | semidirect |
| 30. #13063248 | C22 | semidirect |
| 31. #13063245 | C22 | semidirect |
| 32. (C2×D43)⋊C8 | C22 | semidirect |
| 36. #103×C43 | C22 | semidirect |
| 40. C2×Q8×C43 | D4 | semidirect |
| 56. #10621898 | D4 | semidirect |
| 152. #419 | D43 | semidirect |
| 155. C43 | #3010 | semidirect |
| 180. #103 | C2×D43 | semidirect |
| 200. C2×Q8 | D172 | semidirect |