Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
450 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 125 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×C4×D284 | C2 | semidirect |
| 2. #17986327 | C2 | semidirect |
| 3. #17986310 | C2 | semidirect |
| 4. #17986296 | C2 | semidirect |
| 5. #17986211 | C2 | semidirect |
| 6. #17986149 | C2 | semidirect |
| 8. #17986109 | C2 | semidirect |
| 9. #17986097 | C2 | semidirect |
| 10. #17986056 | C2 | semidirect |
| 11. #529×C71 | C2 | semidirect |
| 22. #14556061 | C22 | semidirect |
| 23. #14556059 | C22 | semidirect |
| 24. C4⋊(C71⋊C8) | C22 | semidirect |
| 25. #14556052 | C22 | semidirect |
| 26. #14556049 | C22 | semidirect |
| 31. #14556039 | C22 | semidirect |
| 33. #125×C71 | C22 | semidirect |
| 34. #124×C71 | C22 | semidirect |
| 38. C4×Q8×C71 | C22 | semidirect |
| 40. C4×D4×C71 | C22 | semidirect |
| 141. C71 | #3114 | semidirect |
| 142. #529 | D71 | semidirect |
| 158. #125 | C2×D71 | semidirect |
| 159. #124 | C2×D71 | semidirect |
| 163. C4×Q8 | C2×D71 | semidirect |
| 169. C4×D4 | C2×D71 | semidirect |