Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556159 | C2 | semidirect |
| 3. #17986479 | C2 | semidirect |
| 4. #17986218 | C2 | semidirect |
| 5. #17986211 | C2 | semidirect |
| 6. #17986206 | C2 | semidirect |
| 7. #17986201 | C2 | semidirect |
| 8. #17986026 | C2 | semidirect |
| 9. #17986000 | C2 | semidirect |
| 10. C2×#14556052 | C2 | semidirect |
| 11. #536×C71 | C2 | semidirect |
| 147. C71 | #3046 | semidirect |
| 150. #536 | D71 | semidirect |