Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
784 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 784 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 |
|---|---|---|
| 1. C2×#14556174 | C2 | semidirect |
| 2. C22×#11765850 | C2 | semidirect |
| 3. #17986566 | C2 | semidirect |
| 4. #17986143 | C2 | semidirect |
| 5. #17986131 | C2 | semidirect |
| 6. #17986005 | C2 | semidirect |
| 7. #17985995 | C2 | semidirect |
| 8. #17985967 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C71 | C2 | semidirect |
| 12. C2×#11765866 | C22 | semidirect |
| 18. C2×D4×D71 | C22 | semidirect |
| 20. C2×#11765850 | C22 | semidirect |
| 21. C22×C71⋊C8 | C22 | semidirect |
| 24. #14556099 | C22 | semidirect |
| 26. #14556087 | C22 | semidirect |
| 27. #14556052 | C22 | semidirect |
| 28. #14556050 | C22 | semidirect |
| 29. #14556049 | C22 | semidirect |
| 30. (C2×D71)⋊C8 | C22 | semidirect |
| 32. C22×D4×C71 | C22 | semidirect |
| 34. C2×SD16×C71 | C22 | semidirect |
| 35. C2×D8×C71 | C22 | semidirect |
| 36. C2×M16×C71 | C22 | semidirect |
| 50. C2×D284 | D4 | semidirect |
| 69. #41×C71 | D4 | semidirect |
| 152. C71 | #3008 | semidirect |
| 154. C2×AGL(1,ℤ/8) | D71 | semidirect |
| 172. C22×D4 | C2×D71 | semidirect |
| 174. C2×SD16 | C2×D71 | semidirect |
| 177. C2×D8 | C2×D71 | semidirect |
| 178. C2×M16 | C2×D71 | semidirect |
| 198. #41 | C22⋊D71 | semidirect |