Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 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. #14583527 | C2 | semidirect |
| 3. #14583201 | C2 | semidirect |
| 4. #14583197 | C2 | semidirect |
| 5. #14583187 | C2 | semidirect |
| 6. #14583177 | C2 | semidirect |
| 7. #14582941 | C2 | semidirect |
| 8. #14582935 | C2 | semidirect |
| 9. #14582927 | C2 | semidirect |
| 14. #13063324 | C22 | semidirect |
| 16. #13063316 | C22 | semidirect |
| 26. #13063259 | C22 | semidirect |
| 27. #13063258 | C22 | semidirect |
| 28. #13063258 | C22 | semidirect |
| 29. #13063257 | C22 | semidirect |
| 30. #13063256 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 32. Dic43⋊C8 | C22 | semidirect |
| 33. Dic43⋊C8 | C22 | semidirect |
| 44. C2×D4×C43 | Q8 | semidirect |
| 136. C43 | #3081 | semidirect |
| 170. C2×D4 | Dic86 | semidirect |