Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
386 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17986334 | C2 | semidirect |
| 4. #17986306 | C2 | semidirect |
| 5. #17986221 | C2 | semidirect |
| 6. #17986155 | C2 | semidirect |
| 8. #17986104 | C2 | semidirect |
| 9. #17986097 | C2 | semidirect |
| 10. #17986056 | C2 | semidirect |
| 11. C2×C4×Q8×C71 | C2 | semidirect |
| 132. C71 | #3117 | semidirect |
| 134. C2×C4×Q8 | D71 | semidirect |