Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 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. C2×#13063350 | C2 | semidirect |
| 2. C22×D344 | C2 | semidirect |
| 3. #14583463 | C2 | semidirect |
| 4. #14583285 | C2 | semidirect |
| 5. #14583284 | C2 | semidirect |
| 6. #14583274 | C2 | semidirect |
| 7. #14582854 | C2 | semidirect |
| 8. C2×#135×C43 | C2 | semidirect |
| 11. C2×#10621884 | C22 | semidirect |
| 15. C2×#10621882 | C22 | semidirect |
| 17. #13063321 | C22 | semidirect |
| 18. #13063314 | C22 | semidirect |
| 22. #13063235 | C22 | semidirect |
| 23. C8×Dic43 | C22 | semidirect |
| 26. C2×Q16×C43 | C22 | semidirect |
| 27. C2×SD16×C43 | C22 | semidirect |
| 28. C2×D8×C43 | C22 | semidirect |
| 46. C2×C8×C43 | D4 | semidirect |
| 55. #10621877 | D4 | semidirect |
| 103. C2×#135 | D43 | semidirect |
| 110. C43 | #3155 | semidirect |
| 115. C2×Q16 | C2×D43 | semidirect |
| 117. C2×SD16 | C2×D43 | semidirect |
| 122. C2×D8 | C2×D43 | semidirect |
| 154. C2×C8 | C22⋊D43 | semidirect |