Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
564 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 173 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. C22×#11765852 | C2 | semidirect |
| 2. C23×C71⋊C8 | C2 | semidirect |
| 4. #17986230 | C2 | direct (N × H) |
| 5. C2×#14556059 | C2 | semidirect |
| 6. C2×#14556052 | C2 | semidirect |
| 7. C2×#14556048 | C2 | semidirect |
| 8. C2×C22⋊Q8×C71 | C2 | semidirect |
| 12. C2×#11765852 | C22 | semidirect |
| 16. C22×C71⋊C8 | C22 | semidirect |
| 21. #14556059 | C22 | semidirect |
| 22. #14556052 | C22 | semidirect |
| 23. #14556048 | C22 | semidirect |
| 27. C22⋊Q8×C71 | C22 | semidirect |
| 42. C2×C71⋊C8 | D4 | semidirect |
| 67. C23×C71 | SD16 | semidirect |
| 97. C71⋊C8 | C2×D4 | semidirect |
| 103. C22×C71 | C2×SD16 | semidirect |
| 118. C2×C71 | #465 | semidirect |
| 124. C71 | C2×#465 | semidirect |
| 127. C2×C22⋊Q8 | D71 | semidirect |
| 144. C22⋊Q8 | C2×D71 | semidirect |
| 195. C23 | #11765852 | semidirect |
| 231. C22 | C2×#11765852 | semidirect |
| 243. C2 | #17986230 | direct (N × H) |