Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 131 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×D8×D43 | C2 | semidirect |
| 2. #14583537 | C2 | semidirect |
| 3. #14583284 | C2 | semidirect |
| 4. #14583137 | C2 | semidirect |
| 5. #14583135 | C2 | semidirect |
| 6. #14583116 | C2 | semidirect |
| 7. #14583048 | C2 | semidirect |
| 8. #14583044 | C2 | semidirect |
| 9. D8×Dic43 | C2 | semidirect |
| 10. C8×C22⋊D43 | C2 | semidirect |
| 11. C2×#135×C43 | C2 | semidirect |
| 13. C2×#10621884 | C22 | semidirect |
| 18. #13063314 | C22 | semidirect |
| 21. #13063299 | C22 | semidirect |
| 24. D4×Dic43 | C22 | semidirect |
| 27. #13063259 | C22 | semidirect |
| 28. Dic43⋊C8 | C22 | semidirect |
| 29. #13063249 | C22 | semidirect |
| 30. #13063247 | C22 | semidirect |
| 31. #13063246 | C22 | semidirect |
| 32. C22⋊(C43⋊C8) | C22 | semidirect |
| 34. C8×Dic43 | C22 | semidirect |
| 35. C2×#41×C43 | C22 | semidirect |
| 37. C2×Q16×C43 | C22 | semidirect |
| 38. C2×SD16×C43 | C22 | semidirect |
| 40. C22×C8×C43 | C22 | semidirect |
| 59. D8×C43 | D4 | semidirect |
| 127. C2×D43 | #135 | semidirect |
| 144. C2×#135 | D43 | semidirect |
| 155. C43 | #3280 | semidirect |
| 156. C2×#41 | C2×D43 | semidirect |
| 159. C2×Q16 | C2×D43 | semidirect |
| 161. C2×SD16 | C2×D43 | semidirect |
| 167. C22×C8 | C2×D43 | semidirect |
| 206. D8 | C22⋊D43 | semidirect |