Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. C2×#13063356 | C2 | semidirect |
| 3. C4×#10621898 | C2 | semidirect |
| 4. #14583118 | C2 | semidirect |
| 5. #14583111 | C2 | semidirect |
| 6. #14582923 | C2 | semidirect |
| 7. #14582908 | C2 | semidirect |
| 8. #14582904 | C2 | semidirect |
| 9. C2×#124×C43 | C2 | semidirect |
| 13. C2×#10621885 | C22 | semidirect |
| 15. C2×#10621884 | C22 | semidirect |
| 19. C4×Dic86 | C22 | semidirect |
| 20. C4×D172 | C22 | semidirect |
| 25. C4⋊(C43⋊C8) | C22 | semidirect |
| 26. #13063249 | C22 | semidirect |
| 128. C2×#124 | D43 | semidirect |
| 135. C43 | #3040 | semidirect |