Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17986709 | C2 | semidirect |
| 2. #17986353 | C2 | semidirect |
| 3. #17986349 | C2 | semidirect |
| 4. #17986306 | C2 | semidirect |
| 5. #17986289 | C2 | semidirect |
| 7. #17986201 | C2 | semidirect |
| 8. Q8×C71⋊C8 | C2 | semidirect |
| 9. C4×#11765852 | C2 | semidirect |
| 11. #556×C71 | C2 | semidirect |
| 121. C71 | #3360 | semidirect |
| 122. #556 | D71 | semidirect |