Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 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×#14556153 | C2 | semidirect |
| 2. C22×D568 | C2 | semidirect |
| 3. #17986563 | C2 | semidirect |
| 4. #17986385 | C2 | semidirect |
| 5. #17986384 | C2 | semidirect |
| 6. #17986374 | C2 | semidirect |
| 7. #17985954 | C2 | semidirect |
| 8. C2×#135×C71 | C2 | semidirect |
| 11. C2×#11765852 | C22 | semidirect |
| 15. C2×#11765850 | C22 | semidirect |
| 17. #14556124 | C22 | semidirect |
| 18. #14556117 | C22 | semidirect |
| 22. #14556038 | C22 | semidirect |
| 23. C8×Dic71 | C22 | semidirect |
| 26. C2×Q16×C71 | C22 | semidirect |
| 27. C2×SD16×C71 | C22 | semidirect |
| 28. C2×D8×C71 | C22 | semidirect |
| 40. #11765849 | D4 | semidirect |
| 56. C2×C8×C71 | D4 | semidirect |
| 102. C71 | #3155 | semidirect |
| 104. C2×#135 | D71 | semidirect |
| 115. C2×Q16 | C2×D71 | semidirect |
| 117. C2×SD16 | C2×D71 | semidirect |
| 122. C2×D8 | C2×D71 | semidirect |
| 154. C2×C8 | C22⋊D71 | semidirect |