Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
512 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 512 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 |
|---|---|---|
| 2. C2×C4⋊C4×D71 | C2 | semidirect |
| 3. #17986314 | C2 | direct (N × H) |
| 4. C2×#14556061 | C2 | semidirect |
| 5. C2×#14556050 | C2 | semidirect |
| 6. C2×#14556048 | C2 | semidirect |
| 7. C2×(C2×D71)⋊C8 | C2 | semidirect |
| 8. C2×#107×C71 | C2 | semidirect |
| 19. C4⋊C4×D71 | C22 | semidirect |
| 21. #14556061 | C22 | semidirect |
| 22. #14556050 | C22 | semidirect |
| 23. #14556048 | C22 | semidirect |
| 24. (C2×D71)⋊C8 | C22 | semidirect |
| 28. #107×C71 | C22 | semidirect |
| 110. C2×C71 | #480 | semidirect |
| 117. C71 | C2×#480 | semidirect |
| 122. C2×#107 | D71 | semidirect |
| 142. #107 | C2×D71 | semidirect |
| 229. C2 | #17986314 | direct (N × H) |