Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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. #14583456 | C2 | semidirect |
| 2. #14583271 | C2 | semidirect |
| 3. #14583245 | C2 | semidirect |
| 4. #14583096 | C2 | semidirect |
| 5. #14583050 | C2 | semidirect |
| 6. #14582952 | C2 | semidirect |
| 8. C2×#10621883 | C22 | semidirect |
| 9. #13063325 | C22 | semidirect |
| 10. #13063325 | C22 | semidirect |
| 15. C4×Dic86 | C22 | semidirect |
| 17. C4⋊(C43⋊C8) | C22 | semidirect |
| 18. #13063246 | C22 | semidirect |
| 20. C4×C43⋊C8 | C22 | semidirect |
| 71. C2×C4×C43 | SD16 | semidirect |
| 112. C43 | #3208 | semidirect |
| 180. C2×C4 | #10621883 | semidirect |