Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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. #17986734 | C2 | semidirect |
| 2. #17986356 | C2 | semidirect |
| 3. #17986347 | C2 | semidirect |
| 4. #17986296 | C2 | semidirect |
| 5. #17986291 | C2 | semidirect |
| 6. #17986214 | C2 | semidirect |
| 8. Q8×C71⋊C8 | C2 | semidirect |
| 9. C4×#11765853 | C2 | semidirect |
| 10. C4×#11765850 | C2 | semidirect |
| 11. #554×C71 | C2 | semidirect |
| 123. C71 | #3361 | semidirect |
| 125. #554 | D71 | semidirect |