Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 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. #17986722 | C2 | semidirect |
| 2. #17986381 | C2 | semidirect |
| 3. #17986371 | C2 | semidirect |
| 4. #17986218 | C2 | semidirect |
| 5. #17986214 | C2 | semidirect |
| 6. #17986209 | C2 | semidirect |
| 8. Q8×C71⋊C8 | C2 | semidirect |
| 9. C4×#11765852 | C2 | semidirect |
| 10. C4×#11765853 | C2 | semidirect |
| 11. #559×C71 | C2 | semidirect |
| 126. C71 | #3394 | semidirect |
| 127. #559 | D71 | semidirect |