Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
620 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 141 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. D4×D172 | C2 | semidirect |
| 3. #14583276 | C2 | semidirect |
| 4. #14583136 | C2 | semidirect |
| 5. #14583094 | C2 | semidirect |
| 6. #14583034 | C2 | semidirect |
| 7. C8×D172 | C2 | semidirect |
| 8. C4×D8×C43 | C2 | semidirect |
| 10. C2×D4×D43 | C22 | semidirect |
| 11. C2×D344 | C22 | semidirect |
| 12. C2×D344 | C22 | semidirect |
| 13. C2×#10621882 | C22 | semidirect |
| 15. C2×C8×D43 | C22 | semidirect |
| 16. #13063322 | C22 | semidirect |
| 17. #13063300 | C22 | semidirect |
| 21. C4⋊(C43⋊C8) | C22 | semidirect |
| 22. #13063245 | C22 | semidirect |
| 23. (C2×D43)⋊C8 | C22 | semidirect |
| 25. C4×D4×C43 | C22 | semidirect |
| 26. #107×C43 | C22 | semidirect |
| 27. #102×C43 | C22 | semidirect |
| 28. C4×C8×C43 | C22 | semidirect |
| 42. D8×C43 | D4 | semidirect |
| 63. D4×C43 | C2×D4 | semidirect |
| 76. D172 | D8 | direct (N × H) |
| 80. C8×C43 | C2×D4 | semidirect |
| 92. C2×D43 | C2×D8 | semidirect |
| 95. C4×C43 | C2×D8 | semidirect |
| 112. C4×D8 | D43 | semidirect |
| 114. C43 | D4×D8 | semidirect |
| 128. C4×D4 | C2×D43 | semidirect |
| 129. #107 | C2×D43 | semidirect |
| 132. #102 | C2×D43 | semidirect |
| 134. C4×C8 | C2×D43 | semidirect |
| 151. D8 | D172 | direct (N × H) |
| 176. D4 | C2×D172 | semidirect |
| 187. C8 | C2×D172 | semidirect |
| 202. C4 | D8×D43 | semidirect |