Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
556 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556155 | C2 | semidirect |
| 2. #17986671 | C2 | semidirect |
| 3. D4×D284 | C2 | semidirect |
| 4. #17986376 | C2 | semidirect |
| 5. #17986253 | C2 | semidirect |
| 6. #17986199 | C2 | semidirect |
| 7. #17986194 | C2 | semidirect |
| 8. #17986147 | C2 | semidirect |
| 9. #17986134 | C2 | semidirect |
| 10. #17986078 | C2 | semidirect |
| 11. C4×SD16×C71 | C2 | semidirect |
| 12. C2×#11765866 | C22 | semidirect |
| 16. C2×#11765852 | C22 | semidirect |
| 17. C2×D568 | C22 | semidirect |
| 18. C2×D568 | C22 | semidirect |
| 20. C2×#11765848 | C22 | semidirect |
| 23. #14556125 | C22 | semidirect |
| 26. #14556103 | C22 | semidirect |
| 31. C4⋊(C71⋊C8) | C22 | semidirect |
| 32. #14556048 | C22 | semidirect |
| 33. #14556048 | C22 | semidirect |
| 34. (C2×D71)⋊C8 | C22 | semidirect |
| 36. C4×Q8×C71 | C22 | semidirect |
| 38. #106×C71 | C22 | semidirect |
| 39. #103×C71 | C22 | semidirect |
| 41. C4×C8×C71 | C22 | semidirect |
| 74. SD16×C71 | D4 | semidirect |
| 91. Q8×C71 | C2×D4 | semidirect |
| 119. C8×C71 | C2×D4 | semidirect |
| 139. C4×C71 | AGL(1,ℤ/8) | semidirect |
| 151. C71 | #3274 | semidirect |
| 161. C4×SD16 | D71 | semidirect |
| 181. C4×Q8 | C2×D71 | semidirect |
| 185. #106 | C2×D71 | semidirect |
| 187. #103 | C2×D71 | semidirect |
| 192. C4×C8 | C2×D71 | semidirect |
| 216. SD16 | D284 | semidirect |
| 242. Q8 | C2×D284 | semidirect |
| 271. C8 | C2×D284 | semidirect |
| 291. C4 | #14556155 | semidirect |