Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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. C4×#11765865 | C2 | semidirect |
| 4. #17986218 | C2 | semidirect |
| 5. #17986211 | C2 | semidirect |
| 6. #17986023 | C2 | semidirect |
| 7. #17986008 | C2 | semidirect |
| 8. #17986004 | C2 | semidirect |
| 9. C2×#124×C71 | C2 | semidirect |
| 13. C2×#11765855 | C22 | semidirect |
| 15. C2×#11765852 | C22 | semidirect |
| 19. C4×Dic142 | C22 | semidirect |
| 20. C4×D284 | C22 | semidirect |
| 25. C4⋊(C71⋊C8) | C22 | semidirect |
| 26. #14556052 | C22 | semidirect |
| 126. C71 | #3040 | semidirect |
| 129. C2×#124 | D71 | semidirect |