Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
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×#14556158 | C2 | semidirect |
| 2. C2×#14556115 | C2 | semidirect |
| 3. #41×Dic71 | C2 | semidirect |
| 4. #17986219 | C2 | semidirect |
| 5. #17986212 | C2 | semidirect |
| 6. #17986022 | C2 | semidirect |
| 7. #17986009 | C2 | semidirect |
| 8. #17986004 | C2 | semidirect |
| 12. C2×#11765855 | C22 | semidirect |
| 13. C2×#11765853 | C22 | semidirect |
| 18. Q8×Dic71 | C22 | semidirect |
| 20. D4×Dic71 | C22 | semidirect |
| 26. Dic71⋊C8 | C22 | semidirect |
| 27. #14556053 | C22 | semidirect |
| 126. C71 | #3040 | semidirect |