Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 137 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. #14583229 | C2 | semidirect |
| 3. #14583215 | C2 | semidirect |
| 4. #14583126 | C2 | semidirect |
| 5. #14583050 | C2 | semidirect |
| 6. #14583037 | C2 | semidirect |
| 7. C2×C22⋊(C43⋊C8) | C2 | semidirect |
| 9. C22×Dic86 | C22 | semidirect |
| 10. C2×#10621883 | C22 | semidirect |
| 11. C22×C43⋊C8 | C22 | semidirect |
| 15. #13063304 | C22 | semidirect |
| 16. C2×C4⋊Dic43 | C22 | semidirect |
| 19. #13063256 | C22 | semidirect |
| 20. #13063248 | C22 | semidirect |
| 21. #13063246 | C22 | semidirect |
| 23. C22⋊(C43⋊C8) | C22 | semidirect |
| 73. C23×C43 | SD16 | semidirect |
| 138. C43 | #3187 | semidirect |
| 203. C23 | #10621883 | semidirect |