Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
526 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13063348 | C2 | semidirect |
| 2. C22×D344 | C2 | semidirect |
| 3. #14583540 | C2 | semidirect |
| 4. #14583284 | C2 | semidirect |
| 5. #14583136 | C2 | semidirect |
| 6. #14583117 | C2 | semidirect |
| 7. #14583049 | C2 | semidirect |
| 8. #14583047 | C2 | semidirect |
| 9. #14582981 | C2 | semidirect |
| 10. C8×C22⋊D43 | C2 | semidirect |
| 11. C43×#467 | C2 | semidirect |
| 12. C2×#10621902 | C22 | semidirect |
| 15. C2×#10621884 | C22 | semidirect |
| 16. C2×#10621884 | C22 | semidirect |
| 21. C2×C8×D43 | C22 | semidirect |
| 22. #13063314 | C22 | semidirect |
| 25. #13063300 | C22 | semidirect |
| 27. #13063287 | C22 | semidirect |
| 30. Dic43⋊C8 | C22 | semidirect |
| 31. #13063245 | C22 | semidirect |
| 32. #13063245 | C22 | semidirect |
| 34. (C2×D43)⋊C8 | C22 | semidirect |
| 35. C8×Dic43 | C22 | semidirect |
| 36. C2×Q16×C43 | C22 | semidirect |
| 39. #107×C43 | C22 | semidirect |
| 40. #103×C43 | C22 | semidirect |
| 78. D344 | D4 | semidirect |
| 116. C22×C43 | #135 | semidirect |
| 148. #467 | D43 | semidirect |
| 155. C43 | #3280 | semidirect |
| 159. C2×Q16 | C2×D43 | semidirect |
| 177. #107 | C2×D43 | semidirect |
| 179. #103 | C2×D43 | semidirect |
| 270. C22 | #13063348 | semidirect |