Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 141 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×#11765848 | C2 | semidirect |
| 2. #17986506 | C2 | semidirect |
| 3. #17986254 | C2 | semidirect |
| 4. #17986249 | C2 | semidirect |
| 5. #17986242 | C2 | semidirect |
| 6. #17986037 | C2 | semidirect |
| 7. #17985995 | C2 | semidirect |
| 8. C2×#135×C71 | C2 | semidirect |
| 20. #14556062 | C22 | semidirect |
| 21. #14556060 | C22 | semidirect |
| 22. #14556052 | C22 | semidirect |
| 23. #14556049 | C22 | semidirect |
| 26. C2×Q16×C71 | C22 | semidirect |
| 27. C2×SD16×C71 | C22 | semidirect |
| 28. C2×D8×C71 | C22 | semidirect |
| 57. C2×C8×C71 | D4 | semidirect |
| 106. C71 | #3054 | semidirect |
| 107. C2×#135 | D71 | semidirect |
| 118. C2×Q16 | C2×D71 | semidirect |
| 119. C2×SD16 | C2×D71 | semidirect |
| 120. C2×D8 | C2×D71 | semidirect |
| 157. C2×C8 | C22⋊D71 | semidirect |