Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
754 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 754 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 |
|---|---|---|
| 2. C2×#13063357 | C2 | semidirect |
| 3. C22⋊Q8×D43 | C2 | semidirect |
| 4. #14583064 | C2 | semidirect |
| 5. #14583060 | C2 | semidirect |
| 6. #14583055 | C2 | semidirect |
| 7. #14583052 | C2 | semidirect |
| 8. #14583049 | C2 | semidirect |
| 9. #14582899 | C2 | semidirect |
| 10. #14582861 | C2 | semidirect |
| 11. C43×#451 | C2 | semidirect |
| 17. C2×Q8×D43 | C22 | semidirect |
| 23. C2×#10621885 | C22 | semidirect |
| 24. C2×#10621873 | C22 | semidirect |
| 25. C2×#10621884 | C22 | semidirect |
| 26. C2×#10621872 | C22 | semidirect |
| 27. #13063305 | C22 | semidirect |
| 31. #13063301 | C22 | semidirect |
| 33. C4⋊C4×D43 | C22 | semidirect |
| 35. #13063249 | C22 | semidirect |
| 36. #13063247 | C22 | semidirect |
| 37. #13063245 | C22 | semidirect |
| 39. (C2×D43)⋊C8 | C22 | semidirect |
| 41. C2×Q16×C43 | C22 | semidirect |
| 43. #103×C43 | C22 | semidirect |
| 142. C22×C43 | #137 | semidirect |
| 178. #451 | D43 | semidirect |
| 183. C43 | #3007 | semidirect |
| 197. C2×Q16 | C2×D43 | semidirect |
| 211. #103 | C2×D43 | semidirect |
| 325. C22 | #13063357 | semidirect |