Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
738 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 249 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 |
|---|---|---|
| 2. #41×Dic43 | C2 | semidirect |
| 3. #14582915 | C2 | semidirect |
| 4. C2×#13063251 | C2 | semidirect |
| 5. C43×#568 | C2 | semidirect |
| 7. #13063372 | C4 | semidirect |
| 8. #13063371 | C4 | semidirect |
| 14. #13063284 | C22 | semidirect |
| 15. C2×C4×Dic43 | C22 | semidirect |
| 16. #13063251 | C22 | semidirect |
| 17. #13063251 | C22 | semidirect |
| 20. C2×M16×C43 | C22 | semidirect |
| 34. #10621898 | C2×C4 | semidirect |
| 36. C2×D172 | C2×C4 | semidirect |
| 38. C2×Dic86 | C2×C4 | semidirect |
| 85. #568 | D43 | semidirect |
| 89. C43 | #2901 | semidirect |
| 98. C2×M16 | C2×D43 | semidirect |