Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
806 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 806 conjugacy classes of subgroups — too many to draw. Only its 169 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×#13063299 | C2 | semidirect |
| 3. #14583044 | C2 | semidirect |
| 4. #14583038 | C2 | semidirect |
| 5. #14583033 | C2 | semidirect |
| 6. #14582900 | C2 | semidirect |
| 7. #14582863 | C2 | semidirect |
| 8. C22×#41×C43 | C2 | semidirect |
| 9. C22×D172 | C22 | semidirect |
| 12. C2×#10621884 | C22 | semidirect |
| 13. C2×#10621882 | C22 | semidirect |
| 14. C2×#10621877 | C22 | semidirect |
| 18. #13063299 | C22 | semidirect |
| 19. C2×C4⋊Dic43 | C22 | semidirect |
| 21. #13063249 | C22 | semidirect |
| 22. #13063246 | C22 | semidirect |
| 23. C22⋊(C43⋊C8) | C22 | semidirect |
| 24. C22⋊(C43⋊C8) | C22 | semidirect |
| 29. C2×#41×C43 | C22 | semidirect |
| 30. C22×Q8×C43 | C22 | semidirect |
| 32. C22×D4×C43 | C22 | semidirect |
| 43. #41×C43 | D4 | semidirect |
| 95. Q8×C43 | C2×D4 | semidirect |
| 100. D4×C43 | C2×D4 | semidirect |
| 135. C22×C43 | AGL(1,ℤ/8) | semidirect |
| 156. C22×#41 | D43 | semidirect |
| 164. C43 | #3006 | semidirect |
| 169. C2×#41 | C2×D43 | semidirect |
| 170. C22×Q8 | C2×D43 | semidirect |
| 174. C22×D4 | C2×D43 | semidirect |
| 199. #41 | C22⋊D43 | semidirect |
| 251. Q8 | C2×C22⋊D43 | semidirect |
| 260. D4 | C2×C22⋊D43 | semidirect |
| 295. C22 | #13063350 | semidirect |