Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556159 | C2 | semidirect |
| 3. C2×#14556117 | C2 | semidirect |
| 4. #17986467 | C2 | semidirect |
| 5. #17986224 | C2 | semidirect |
| 6. #17986217 | C2 | semidirect |
| 7. #17986022 | C2 | semidirect |
| 8. #17986003 | C2 | semidirect |
| 9. #419×C71 | C2 | semidirect |
| 14. C2×#11765855 | C22 | semidirect |
| 16. C2×#11765852 | C22 | semidirect |
| 22. #14556093 | C22 | semidirect |
| 23. #14556090 | C22 | semidirect |
| 29. Dic71⋊C8 | C22 | semidirect |
| 34. #103×C71 | C22 | semidirect |
| 126. C71 | #3040 | semidirect |
| 134. #419 | D71 | semidirect |
| 159. #103 | C2×D71 | semidirect |