Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
812 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 165 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×#10621898 | C2 | semidirect |
| 2. C22×#10621883 | C2 | semidirect |
| 3. C22×#10621882 | C2 | semidirect |
| 4. #14583042 | C2 | direct (N × H) |
| 5. C2×#13063248 | C2 | semidirect |
| 6. C2×#13063245 | C2 | semidirect |
| 7. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 8. C2×#121×C43 | C2 | semidirect |
| 12. C2×#10621898 | C22 | semidirect |
| 18. C2×#10621883 | C22 | semidirect |
| 20. C2×#10621882 | C22 | semidirect |
| 23. #13063248 | C22 | semidirect |
| 24. #13063245 | C22 | semidirect |
| 25. C22⋊(C43⋊C8) | C22 | semidirect |
| 30. #121×C43 | C22 | semidirect |
| 57. C2×D172 | D4 | semidirect |
| 63. C2×Dic86 | D4 | semidirect |
| 107. D172 | C2×D4 | semidirect |
| 111. Dic86 | C2×D4 | semidirect |
| 139. C2×C43 | #449 | semidirect |
| 147. C2×#121 | D43 | semidirect |
| 152. C43 | C2×#449 | semidirect |
| 171. #121 | C2×D43 | semidirect |
| 283. C2 | #14583042 | direct (N × H) |