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. #14583697 | C2 | semidirect |
| 3. #14583470 | C2 | semidirect |
| 4. #14583080 | C2 | semidirect |
| 5. #14583070 | C2 | semidirect |
| 6. #14582916 | C2 | semidirect |
| 7. #14582915 | C2 | semidirect |
| 8. C2×#13063243 | C2 | semidirect |
| 9. C43×#575 | C2 | semidirect |
| 21. #13063356 | C22 | semidirect |
| 23. #13063351 | C22 | semidirect |
| 27. #13063323 | C22 | semidirect |
| 28. #13063312 | C22 | semidirect |
| 32. #13063252 | C22 | semidirect |
| 33. #13063251 | C22 | semidirect |
| 34. #13063243 | C22 | semidirect |
| 38. #137×C43 | C22 | semidirect |
| 40. AGL(1,ℤ/8)×C43 | C22 | semidirect |
| 188. #575 | D43 | semidirect |
| 195. C43 | #3020 | semidirect |
| 212. #137 | C2×D43 | semidirect |
| 216. AGL(1,ℤ/8) | C2×D43 | semidirect |