Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 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×#14556158 | C2 | semidirect |
| 2. C22×#11765853 | C2 | semidirect |
| 3. #17986476 | C2 | semidirect |
| 4. #17986218 | C2 | semidirect |
| 5. #17986196 | C2 | semidirect |
| 6. #17986026 | C2 | semidirect |
| 7. #17986004 | C2 | semidirect |
| 8. #17985995 | C2 | semidirect |
| 12. C2×#11765855 | C22 | semidirect |
| 15. C2×#11765853 | C22 | semidirect |
| 18. C4×Dic142 | C22 | semidirect |
| 22. C4⋊(C71⋊C8) | C22 | semidirect |
| 23. #14556052 | C22 | semidirect |
| 25. #14556049 | C22 | semidirect |
| 35. C2×Dic142 | D4 | semidirect |
| 117. C71 | #3043 | semidirect |