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×#14556154 | C2 | semidirect |
| 2. #17986549 | C2 | semidirect |
| 3. #17986386 | C2 | semidirect |
| 4. #17986375 | C2 | semidirect |
| 5. #17986371 | C2 | semidirect |
| 6. C4×#11765849 | C2 | semidirect |
| 7. C2×#127×C71 | C2 | semidirect |
| 10. C2×#11765853 | C22 | semidirect |
| 11. C2×#11765850 | C22 | semidirect |
| 13. #14556128 | C22 | semidirect |
| 14. #14556125 | C22 | semidirect |
| 15. #14556116 | C22 | semidirect |
| 18. #14556039 | C22 | semidirect |
| 19. C4×C71⋊C8 | C22 | semidirect |
| 34. #11765849 | D4 | semidirect |
| 71. C71⋊C8 | C2×D4 | semidirect |
| 82. C4×C71 | AGL(1,ℤ/8) | semidirect |
| 91. C71 | #3151 | semidirect |
| 94. C2×#127 | D71 | semidirect |
| 174. C4 | #14556154 | semidirect |