Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
454 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583433 | C2 | semidirect |
| 2. C2×C4×D172 | C2 | semidirect |
| 3. #14583235 | C2 | semidirect |
| 4. #14583218 | C2 | semidirect |
| 5. #14583200 | C2 | semidirect |
| 6. #14583115 | C2 | semidirect |
| 7. #14583052 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C4×D344 | C2 | semidirect |
| 11. C43×#431 | C2 | semidirect |
| 17. #13063317 | C22 | semidirect |
| 18. #13063313 | C22 | semidirect |
| 22. C4×Dic86 | C22 | semidirect |
| 27. C4×D172 | C22 | semidirect |
| 32. #13063259 | C22 | semidirect |
| 33. #13063257 | C22 | semidirect |
| 34. #13063250 | C22 | semidirect |
| 37. #13063247 | C22 | semidirect |
| 39. C4⋊C8×C43 | C22 | semidirect |
| 42. C4×C8×C43 | C22 | semidirect |
| 151. #431 | D43 | semidirect |
| 152. C43 | #3105 | semidirect |
| 176. C4⋊C8 | C2×D43 | semidirect |
| 183. C4×C8 | C2×D43 | semidirect |