Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
440 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 153 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. #14583456 | C2 | semidirect |
| 2. #14583199 | C2 | semidirect |
| 3. #14583189 | C2 | semidirect |
| 4. #14583179 | C2 | semidirect |
| 5. #14582939 | C2 | semidirect |
| 6. #14582923 | C2 | semidirect |
| 10. #13063325 | C22 | semidirect |
| 11. #13063325 | C22 | semidirect |
| 12. #13063317 | C22 | semidirect |
| 18. #13063258 | C22 | semidirect |
| 19. #13063256 | C22 | semidirect |
| 20. C4⋊(C43⋊C8) | C22 | semidirect |
| 21. C4⋊(C43⋊C8) | C22 | semidirect |
| 36. C2×D4×C43 | Q8 | semidirect |
| 124. C43 | #3077 | semidirect |
| 154. C2×D4 | Dic86 | semidirect |