Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 2. C2×#14556158 | C2 | semidirect |
| 4. C22×#11765855 | C2 | semidirect |
| 5. #17986575 | C2 | semidirect |
| 6. #17986394 | C2 | semidirect |
| 7. #17986391 | C2 | semidirect |
| 8. #17986381 | C2 | semidirect |
| 9. #17986378 | C2 | semidirect |
| 10. #17985955 | C2 | semidirect |
| 11. #536×C71 | C2 | semidirect |
| 144. C71 | #3156 | semidirect |
| 150. #536 | D71 | semidirect |