Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
764 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 764 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×#13063370 | C2 | semidirect |
| 2. C2×#13063345 | C2 | semidirect |
| 3. #14583477 | C2 | semidirect |
| 4. #14583058 | C2 | semidirect |
| 5. #14583048 | C2 | semidirect |
| 6. #14583041 | C2 | semidirect |
| 7. #14583031 | C2 | semidirect |
| 8. #14582901 | C2 | semidirect |
| 9. C2×#13063246 | C2 | semidirect |
| 10. #14582867 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 22. C2×#10621885 | C22 | semidirect |
| 23. C2×#10621883 | C22 | semidirect |
| 24. C2×#10621884 | C22 | semidirect |
| 25. C2×#10621882 | C22 | semidirect |
| 26. C22×C43⋊C8 | C22 | semidirect |
| 28. #13063301 | C22 | semidirect |
| 31. #13063296 | C22 | semidirect |
| 32. C2×C4⋊Dic43 | C22 | semidirect |
| 33. #13063250 | C22 | semidirect |
| 34. #13063247 | C22 | semidirect |
| 35. #13063246 | C22 | semidirect |
| 36. #13063246 | C22 | semidirect |
| 37. (C2×D43)⋊C8 | C22 | semidirect |
| 38. (C2×D43)⋊C8 | C22 | semidirect |
| 39. C2×#41×C43 | C22 | semidirect |
| 42. C2×SD16×C43 | C22 | semidirect |
| 43. C2×D8×C43 | C22 | semidirect |
| 44. C2×M16×C43 | C22 | semidirect |
| 53. C2×D4×C43 | D4 | semidirect |
| 75. #10621898 | D4 | semidirect |
| 180. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 190. C43 | #3012 | semidirect |
| 197. C2×#41 | C2×D43 | semidirect |
| 207. C2×SD16 | C2×D43 | semidirect |
| 209. C2×D8 | C2×D43 | semidirect |
| 210. C2×M16 | C2×D43 | semidirect |
| 252. C2×D4 | C22⋊D43 | semidirect |