Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×C4×D284 | C2 | semidirect |
| 3. #17986211 | C2 | semidirect |
| 4. #17986201 | C2 | semidirect |
| 5. #17986191 | C2 | semidirect |
| 6. #17986023 | C2 | semidirect |
| 7. #17986000 | C2 | semidirect |
| 8. #532×C71 | C2 | semidirect |
| 21. C4⋊(C71⋊C8) | C22 | semidirect |
| 22. C4⋊(C71⋊C8) | C22 | semidirect |
| 23. #14556052 | C22 | semidirect |
| 24. #14556049 | C22 | semidirect |
| 26. C4⋊Q8×C71 | C22 | semidirect |
| 27. #127×C71 | C22 | semidirect |
| 28. #124×C71 | C22 | semidirect |
| 37. C2×D284 | D4 | semidirect |
| 119. C4×C71 | AGL(1,ℤ/8) | semidirect |
| 130. C71 | #3036 | semidirect |
| 132. #532 | D71 | semidirect |
| 146. C4⋊Q8 | C2×D71 | semidirect |
| 147. #127 | C2×D71 | semidirect |
| 148. #124 | C2×D71 | semidirect |
| 250. C4 | #14556153 | semidirect |