Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
656 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 157 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×#14556153 | C2 | semidirect |
| 2. C2×#14556125 | C2 | semidirect |
| 3. #17986389 | C2 | semidirect |
| 4. #17986375 | C2 | semidirect |
| 5. #17986373 | C2 | semidirect |
| 6. C4×#11765849 | C2 | semidirect |
| 7. #532×C71 | C2 | semidirect |
| 11. C2×#11765852 | C22 | semidirect |
| 12. C2×#11765850 | C22 | semidirect |
| 17. #14556039 | C22 | semidirect |
| 18. C4×C71⋊C8 | C22 | semidirect |
| 20. C4⋊Q8×C71 | C22 | semidirect |
| 21. #127×C71 | C22 | semidirect |
| 22. #124×C71 | C22 | semidirect |
| 35. #11765849 | D4 | semidirect |
| 71. C71⋊C8 | C2×D4 | semidirect |
| 83. C4×C71 | AGL(1,ℤ/8) | semidirect |
| 91. C71 | #3151 | semidirect |
| 93. #532 | D71 | semidirect |
| 106. C4⋊Q8 | C2×D71 | semidirect |
| 110. #127 | C2×D71 | semidirect |
| 111. #124 | C2×D71 | semidirect |
| 174. C4 | #14556153 | semidirect |