Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
524 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 524 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. C22×D568 | C2 | semidirect |
| 2. #17986563 | C2 | semidirect |
| 3. #17986252 | C2 | semidirect |
| 4. #17986235 | C2 | semidirect |
| 5. #17986037 | C2 | semidirect |
| 6. #17986005 | C2 | semidirect |
| 7. C2×#131×C71 | C2 | semidirect |
| 14. #14556102 | C22 | semidirect |
| 17. #14556062 | C22 | semidirect |
| 18. #14556060 | C22 | semidirect |
| 19. #14556050 | C22 | semidirect |
| 23. C2×M16×C71 | C22 | semidirect |
| 25. C22×C8×C71 | C22 | semidirect |
| 48. C2×C8×C71 | D4 | semidirect |
| 94. C71 | #3058 | semidirect |
| 96. C2×#131 | D71 | semidirect |
| 109. C2×M16 | C2×D71 | semidirect |
| 111. C22×C8 | C2×D71 | semidirect |
| 138. C2×C8 | C22⋊D71 | semidirect |