Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
334 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 121 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. C2×#14556120 | C2 | semidirect |
| 2. #17986398 | C2 | semidirect |
| 3. #17986353 | C2 | semidirect |
| 4. #17986332 | C2 | semidirect |
| 5. #17986327 | C2 | semidirect |
| 8. #17986306 | C2 | semidirect |
| 9. #17986299 | C2 | semidirect |
| 10. #17986052 | C2 | semidirect |
| 126. C71 | #3232 | semidirect |