Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
488 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 488 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×#13063353 | C2 | semidirect |
| 2. C2×#13063351 | C2 | semidirect |
| 3. C22×#10621882 | C2 | semidirect |
| 4. C2×#13063333 | C2 | semidirect |
| 5. #14583168 | C2 | direct (N × H) |
| 6. C2×#13063260 | C2 | semidirect |
| 7. C2×#13063241 | C2 | semidirect |
| 8. C2×#100×C43 | C2 | semidirect |
| 12. #13063353 | C22 | semidirect |
| 14. #13063351 | C22 | semidirect |
| 22. C2×#10621882 | C22 | semidirect |
| 24. #13063333 | C22 | semidirect |
| 29. #13063260 | C22 | semidirect |
| 30. #13063241 | C22 | semidirect |
| 34. #100×C43 | C22 | semidirect |
| 140. C2×C43 | #472 | semidirect |
| 151. C2×#100 | D43 | semidirect |
| 152. C43 | C2×#472 | semidirect |
| 178. #100 | C2×D43 | semidirect |
| 285. C2 | #14583168 | direct (N × H) |