Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13063372 | C2 | semidirect |
| 2. #14583699 | C2 | semidirect |
| 3. #14583697 | C2 | semidirect |
| 4. #14583475 | C2 | semidirect |
| 5. #14583083 | C2 | semidirect |
| 6. #14583073 | C2 | semidirect |
| 7. #14582917 | C2 | semidirect |
| 8. C2×#13063243 | C2 | semidirect |
| 9. C43×#421 | C2 | semidirect |
| 23. #13063358 | C22 | semidirect |
| 25. #13063355 | C22 | semidirect |
| 27. #13063353 | C22 | semidirect |
| 29. #13063350 | C22 | semidirect |
| 33. #13063325 | C22 | semidirect |
| 34. #13063313 | C22 | semidirect |
| 37. #13063253 | C22 | semidirect |
| 38. #13063243 | C22 | semidirect |
| 42. #104×C43 | C22 | semidirect |
| 193. #421 | D43 | semidirect |
| 195. C43 | #3020 | semidirect |
| 227. #104 | C2×D43 | semidirect |