Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
398 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14583530 | C2 | semidirect |
| 3. #14583202 | C2 | semidirect |
| 4. #14583198 | C2 | semidirect |
| 5. #14583188 | C2 | semidirect |
| 6. #14583178 | C2 | semidirect |
| 7. #14582935 | C2 | semidirect |
| 8. #14582927 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 15. #13063324 | C22 | semidirect |
| 17. #13063316 | C22 | semidirect |
| 26. #13063258 | C22 | semidirect |
| 27. #13063258 | C22 | semidirect |
| 28. #13063256 | C22 | semidirect |
| 29. #13063256 | C22 | semidirect |
| 30. Dic43⋊C8 | C22 | semidirect |
| 31. Dic43⋊C8 | C22 | semidirect |
| 39. #107×C43 | C22 | semidirect |
| 40. #106×C43 | C22 | semidirect |
| 46. C2×D172 | Q8 | semidirect |
| 131. #428 | D43 | semidirect |
| 136. C43 | #3081 | semidirect |
| 156. #107 | C2×D43 | semidirect |
| 159. #106 | C2×D43 | semidirect |