Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
732 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#10621883 | C2 | semidirect |
| 3. #14583466 | C2 | semidirect |
| 4. #14583041 | C2 | semidirect |
| 5. #14583036 | C2 | semidirect |
| 6. #14582909 | C2 | semidirect |
| 7. #14582895 | C2 | semidirect |
| 8. #14582867 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C43 | C2 | semidirect |
| 15. C2×#10621900 | C22 | semidirect |
| 18. C2×Q8×D43 | C22 | semidirect |
| 27. #13063250 | C22 | semidirect |
| 28. #13063249 | C22 | semidirect |
| 29. #13063246 | C22 | semidirect |
| 30. (C2×D43)⋊C8 | C22 | semidirect |
| 39. #41×C43 | D4 | semidirect |
| 70. C2×Dic86 | D4 | semidirect |
| 147. C2×AGL(1,ℤ/8) | D43 | semidirect |
| 155. C43 | #3010 | semidirect |
| 191. #41 | C22⋊D43 | semidirect |