Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 398 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. #14583527 | C2 | semidirect |
| 2. #14583199 | C2 | semidirect |
| 3. #14583199 | C2 | semidirect |
| 4. #14583189 | C2 | semidirect |
| 5. #14583179 | C2 | semidirect |
| 6. #14582942 | C2 | semidirect |
| 7. #14582935 | C2 | semidirect |
| 8. #14582926 | C2 | semidirect |
| 14. #13063325 | C22 | semidirect |
| 16. #13063317 | C22 | semidirect |
| 21. #13063258 | C22 | semidirect |
| 22. #13063258 | C22 | semidirect |
| 23. #13063258 | C22 | semidirect |
| 24. #13063256 | C22 | semidirect |
| 25. #13063256 | C22 | semidirect |
| 26. #13063256 | C22 | semidirect |
| 27. C4⋊(C43⋊C8) | C22 | semidirect |
| 28. C4⋊(C43⋊C8) | C22 | semidirect |
| 44. C2×D4×C43 | Q8 | semidirect |
| 136. C43 | #3081 | semidirect |
| 170. C2×D4 | Dic86 | semidirect |