Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
452 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583699 | C2 | semidirect |
| 2. C2×#13063347 | C2 | semidirect |
| 3. C2×#13063331 | C2 | semidirect |
| 4. #14583175 | C2 | semidirect |
| 5. #14583170 | C2 | semidirect |
| 6. #14583163 | C2 | semidirect |
| 7. #14582881 | C2 | semidirect |
| 8. C2×#108×C43 | C2 | semidirect |
| 20. C2×Dic172 | C22 | semidirect |
| 21. C2×#10621873 | C22 | semidirect |
| 22. C2×D344 | C22 | semidirect |
| 30. #13063243 | C22 | semidirect |
| 31. #13063241 | C22 | semidirect |
| 34. #108×C43 | C22 | semidirect |
| 35. #108×C43 | C22 | semidirect |
| 139. C2×#108 | D43 | semidirect |
| 141. C43 | #3067 | semidirect |
| 165. #108 | C2×D43 | semidirect |
| 166. #108 | C2×D43 | semidirect |