Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13063351 | C2 | semidirect |
| 2. C2×#13063347 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583287 | C2 | semidirect |
| 5. #14583282 | C2 | semidirect |
| 6. #14583274 | C2 | semidirect |
| 7. #14582854 | C2 | semidirect |
| 8. C22×D8×C43 | C2 | semidirect |
| 12. C2×Dic172 | C22 | semidirect |
| 13. C2×#10621873 | C22 | semidirect |
| 14. C2×#10621883 | C22 | semidirect |
| 15. C2×D344 | C22 | semidirect |
| 16. C2×#10621882 | C22 | semidirect |
| 18. #13063321 | C22 | semidirect |
| 19. #13063312 | C22 | semidirect |
| 23. #13063235 | C22 | semidirect |
| 24. C8×Dic43 | C22 | semidirect |
| 45. C2×C8×C43 | D4 | semidirect |
| 54. #10621877 | D4 | semidirect |
| 104. C22×D8 | D43 | semidirect |
| 110. C43 | #3155 | semidirect |
| 154. C2×C8 | C22⋊D43 | semidirect |