Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986552 | C2 | semidirect |
| 3. #17986366 | C2 | semidirect |
| 4. #17986362 | C2 | semidirect |
| 5. #17986360 | C2 | semidirect |
| 6. #17986357 | C2 | semidirect |
| 7. #17985996 | C2 | semidirect |
| 8. #17985995 | C2 | semidirect |
| 9. #17985993 | C2 | semidirect |
| 10. C2×#14556038 | C2 | semidirect |
| 11. #416×C71 | C2 | semidirect |
| 126. C71 | #3135 | semidirect |
| 136. #416 | D71 | semidirect |