Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
418 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583634 | C2 | semidirect |
| 2. #14583286 | C2 | semidirect |
| 3. #14583275 | C2 | semidirect |
| 4. #14583114 | C2 | semidirect |
| 5. #14583096 | C2 | semidirect |
| 6. #14583094 | C2 | semidirect |
| 7. #14583091 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14583009 | C2 | semidirect |
| 10. C4×#10621883 | C2 | semidirect |
| 11. C43×#550 | C2 | semidirect |
| 108. C43⋊C8 | #41 | semidirect |
| 136. #550 | D43 | semidirect |
| 146. C43 | #3399 | semidirect |