Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
396 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 396 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. #14583609 | C2 | semidirect |
| 2. #14583263 | C2 | semidirect |
| 3. #14583245 | C2 | semidirect |
| 4. #14583199 | C2 | semidirect |
| 5. #14583189 | C2 | semidirect |
| 6. #14583091 | C2 | semidirect |
| 7. #14583091 | C2 | semidirect |
| 8. #14583030 | C2 | semidirect |
| 9. #14583009 | C2 | semidirect |
| 10. C4×#10621882 | C2 | semidirect |
| 11. C43×#550 | C2 | semidirect |
| 97. D172 | #41 | semidirect |
| 131. #550 | D43 | semidirect |
| 141. C43 | #3366 | semidirect |