Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
548 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14556154 | C2 | semidirect |
| 2. #17986549 | C2 | semidirect |
| 3. #17986214 | C2 | semidirect |
| 4. #17986204 | C2 | semidirect |
| 5. #17986194 | C2 | semidirect |
| 6. #17986023 | C2 | semidirect |
| 7. #17985998 | C2 | semidirect |
| 8. C2×C4×D4×C71 | C2 | semidirect |
| 14. #14556128 | C22 | semidirect |
| 15. #14556125 | C22 | semidirect |
| 16. #14556116 | C22 | semidirect |
| 21. C4⋊(C71⋊C8) | C22 | semidirect |
| 22. C4⋊(C71⋊C8) | C22 | semidirect |
| 23. #14556051 | C22 | semidirect |
| 24. #14556048 | C22 | semidirect |
| 53. C2×D4×C71 | D4 | semidirect |
| 119. C4×C71 | AGL(1,ℤ/8) | semidirect |
| 130. C71 | #3036 | semidirect |
| 133. C2×C4×D4 | D71 | semidirect |
| 174. C2×D4 | D284 | semidirect |
| 250. C4 | #14556154 | semidirect |