Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
494 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. C22×#10621884 | C2 | semidirect |
| 3. #14583373 | C2 | semidirect |
| 4. #14583111 | C2 | semidirect |
| 5. #14583101 | C2 | semidirect |
| 6. #14582926 | C2 | semidirect |
| 7. #14582908 | C2 | semidirect |
| 8. #14582895 | C2 | semidirect |
| 9. C43×#536 | C2 | semidirect |
| 22. C4⋊(C43⋊C8) | C22 | semidirect |
| 23. #13063249 | C22 | semidirect |
| 24. #13063249 | C22 | semidirect |
| 25. #13063246 | C22 | semidirect |
| 28. C4⋊Q8×C43 | C22 | semidirect |
| 29. #124×C43 | C22 | semidirect |
| 119. #536 | D43 | semidirect |
| 126. C43 | #3042 | semidirect |
| 137. C4⋊Q8 | C2×D43 | semidirect |
| 138. #124 | C2×D43 | semidirect |