Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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×#14556087 | C2 | semidirect |
| 2. #17986320 | C2 | semidirect |
| 3. #17986315 | C2 | semidirect |
| 4. #17986310 | C2 | semidirect |
| 5. #17986039 | C2 | semidirect |
| 6. #17986004 | C2 | semidirect |
| 7. #17985963 | C2 | semidirect |
| 13. #14556087 | C22 | semidirect |
| 14. C2×C4⋊Dic71 | C22 | semidirect |
| 15. C2×C4⋊Dic71 | C22 | semidirect |
| 18. #14556061 | C22 | semidirect |
| 19. #14556059 | C22 | semidirect |
| 20. #14556049 | C22 | semidirect |
| 21. #14556049 | C22 | semidirect |
| 22. C22⋊(C71⋊C8) | C22 | semidirect |
| 23. C22⋊(C71⋊C8) | C22 | semidirect |
| 126. C71 | #3094 | semidirect |