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 |
|---|---|---|
| 2. #17986479 | C2 | semidirect |
| 3. #17986339 | C2 | semidirect |
| 4. #17986333 | C2 | semidirect |
| 5. #17986321 | C2 | semidirect |
| 6. #17986311 | C2 | semidirect |
| 7. #17986042 | C2 | semidirect |
| 8. C2×#14556062 | C2 | semidirect |
| 9. #17986000 | C2 | semidirect |
| 10. #17985965 | C2 | semidirect |
| 11. #416×C71 | C2 | semidirect |
| 134. C71 | #3098 | semidirect |
| 144. #416 | D71 | semidirect |