Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
490 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 490 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×#13063356 | C2 | semidirect |
| 2. C22×#10621884 | C2 | semidirect |
| 4. #14583121 | C2 | semidirect |
| 5. #14583099 | C2 | semidirect |
| 6. #14582926 | C2 | semidirect |
| 7. #14582903 | C2 | semidirect |
| 8. #14582893 | C2 | semidirect |
| 9. C43×#519 | C2 | semidirect |
| 13. C2×#10621885 | C22 | semidirect |
| 16. C2×#10621884 | C22 | semidirect |
| 23. C4⋊(C43⋊C8) | C22 | semidirect |
| 24. #13063248 | C22 | semidirect |
| 26. #13063245 | C22 | semidirect |
| 29. C4×Q8×C43 | C22 | semidirect |
| 36. C2×Q8×C43 | D4 | semidirect |
| 120. #519 | D43 | semidirect |
| 126. C43 | #3043 | semidirect |
| 142. C4×Q8 | C2×D43 | semidirect |
| 156. C2×Q8 | D172 | semidirect |