Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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×#13063350 | C2 | semidirect |
| 2. C2×#13063350 | C2 | semidirect |
| 3. #14583666 | C2 | semidirect |
| 4. #14583167 | C2 | semidirect |
| 5. #14583164 | C2 | semidirect |
| 6. #14582947 | C2 | semidirect |
| 7. #14582883 | C2 | semidirect |
| 8. C2×#13063241 | C2 | semidirect |
| 9. C43×#575 | C2 | semidirect |
| 16. C2×#10621884 | C22 | semidirect |
| 18. C2×#10621882 | C22 | semidirect |
| 20. #13063332 | C22 | semidirect |
| 25. #13063260 | C22 | semidirect |
| 26. #13063244 | C22 | semidirect |
| 27. #13063242 | C22 | semidirect |
| 28. #13063241 | C22 | semidirect |
| 32. #137×C43 | C22 | semidirect |
| 34. AGL(1,ℤ/8)×C43 | C22 | semidirect |
| 148. #575 | D43 | semidirect |
| 157. C43 | #3068 | semidirect |
| 162. #137 | C2×D43 | semidirect |
| 168. AGL(1,ℤ/8) | C2×D43 | semidirect |