Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
444 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. #17986332 | C2 | semidirect |
| 3. #17986276 | C2 | semidirect |
| 4. #17986201 | C2 | semidirect |
| 6. #17986097 | C2 | semidirect |
| 7. #17986056 | C2 | semidirect |
| 8. #533×C71 | C2 | semidirect |
| 18. #14556061 | C22 | semidirect |
| 19. C4⋊(C71⋊C8) | C22 | semidirect |
| 20. #14556052 | C22 | semidirect |
| 23. #14556039 | C22 | semidirect |
| 24. C4⋊Q8×C71 | C22 | semidirect |
| 25. C4⋊Q8×C71 | C22 | semidirect |
| 30. C4×Q8×C71 | C22 | semidirect |
| 113. C71 | #3110 | semidirect |
| 114. #533 | D71 | semidirect |
| 125. C4⋊Q8 | C2×D71 | semidirect |
| 126. C4⋊Q8 | C2×D71 | semidirect |
| 131. C4×Q8 | C2×D71 | semidirect |