Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 127 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×#13063344 | C2 | semidirect |
| 2. C2×#13063333 | C2 | semidirect |
| 3. #14583478 | C2 | semidirect |
| 4. #14583158 | C2 | semidirect |
| 5. #14583157 | C2 | semidirect |
| 6. #14583149 | C2 | semidirect |
| 7. #14583127 | C2 | semidirect |
| 8. #14583126 | C2 | semidirect |
| 9. #106×D43 | C2 | semidirect |
| 10. #14582897 | C2 | semidirect |
| 11. C43×#469 | C2 | semidirect |
| 80. C8×D43 | D4 | semidirect |
| 146. #469 | D43 | semidirect |
| 151. C43 | #3060 | semidirect |