Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
398 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
| 3. #17986346 | C2 | semidirect |
| 4. #17986314 | C2 | semidirect |
| 5. #17986294 | C2 | semidirect |
| 6. #17986248 | C2 | semidirect |
| 7. #17986199 | C2 | semidirect |
| 8. #17986160 | C2 | semidirect |
| 9. #17986078 | C2 | semidirect |
| 10. #17985999 | C2 | semidirect |
| 11. C4×Q16×C71 | C2 | semidirect |
| 129. C71 | #3333 | semidirect |
| 138. C4×Q16 | D71 | semidirect |