Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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. #17986533 | C2 | semidirect |
| 2. #17986299 | C2 | semidirect |
| 3. #17986291 | C2 | semidirect |
| 4. #17986286 | C2 | semidirect |
| 5. #17986233 | C2 | semidirect |
| 6. #17986226 | C2 | semidirect |
| 7. #17986214 | C2 | semidirect |
| 8. #17986196 | C2 | semidirect |
| 9. #17986191 | C2 | semidirect |
| 10. C2×C4⋊(C71⋊C8) | C2 | semidirect |
| 11. #532×C71 | C2 | semidirect |
| 142. C71 | #3247 | semidirect |
| 143. #532 | D71 | semidirect |