Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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. C2×#13063351 | C2 | semidirect |
| 2. #14583466 | C2 | semidirect |
| 3. #14583374 | C2 | semidirect |
| 4. #14583112 | C2 | semidirect |
| 5. #14583092 | C2 | semidirect |
| 6. #14582925 | C2 | semidirect |
| 7. #14582904 | C2 | semidirect |
| 8. #14582896 | C2 | semidirect |
| 9. C22×D8×C43 | C2 | semidirect |
| 12. C2×#10621883 | C22 | semidirect |
| 13. C2×#10621882 | C22 | semidirect |
| 15. #13063321 | C22 | semidirect |
| 16. #13063312 | C22 | semidirect |
| 20. D4×Dic43 | C22 | semidirect |
| 24. Dic43⋊C8 | C22 | semidirect |
| 25. #13063250 | C22 | semidirect |
| 26. #13063247 | C22 | semidirect |
| 27. #13063246 | C22 | semidirect |
| 40. C2×D4×C43 | D4 | semidirect |
| 123. C22×D8 | D43 | semidirect |
| 131. C43 | #3041 | semidirect |
| 168. C2×D4 | C22⋊D43 | semidirect |