Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13063304 | C2 | semidirect |
| 2. #14583240 | C2 | semidirect |
| 3. #14583227 | C2 | semidirect |
| 4. #14583210 | C2 | semidirect |
| 5. #14583138 | C2 | semidirect |
| 6. #14583126 | C2 | semidirect |
| 7. #14583061 | C2 | semidirect |
| 8. #14583054 | C2 | semidirect |
| 9. #14583037 | C2 | semidirect |
| 10. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 13. C2×#10621885 | C22 | semidirect |
| 14. C2×#10621883 | C22 | semidirect |
| 23. #13063258 | C22 | semidirect |
| 24. #13063256 | C22 | semidirect |
| 25. #13063249 | C22 | semidirect |
| 26. #13063248 | C22 | semidirect |
| 27. #13063248 | C22 | semidirect |
| 28. #13063246 | C22 | semidirect |
| 161. C43 | #3190 | semidirect |