Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
584 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#13063321 | C2 | semidirect |
| 3. #41×Dic43 | C2 | semidirect |
| 4. #14583097 | C2 | semidirect |
| 5. #14583092 | C2 | semidirect |
| 6. #14582922 | C2 | semidirect |
| 7. #14582905 | C2 | semidirect |
| 8. #14582904 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 13. C2×#10621884 | C22 | semidirect |
| 14. C2×#10621882 | C22 | semidirect |
| 19. Q8×Dic43 | C22 | semidirect |
| 21. D4×Dic43 | C22 | semidirect |
| 26. Dic43⋊C8 | C22 | semidirect |
| 27. #13063247 | C22 | semidirect |
| 28. #13063246 | C22 | semidirect |
| 32. C2×SD16×C43 | C22 | semidirect |
| 33. C2×D8×C43 | C22 | semidirect |
| 38. #41×C43 | D4 | semidirect |
| 83. Q8×C43 | C2×D4 | semidirect |
| 89. D4×C43 | C2×D4 | semidirect |
| 125. Dic43 | AGL(1,ℤ/8) | semidirect |
| 134. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 142. C43 | #3038 | semidirect |
| 150. C2×SD16 | C2×D43 | semidirect |
| 152. C2×D8 | C2×D43 | semidirect |
| 171. #41 | C22⋊D43 | semidirect |
| 216. Q8 | C2×C22⋊D43 | semidirect |
| 227. D4 | C2×C22⋊D43 | semidirect |