Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17986544 | C2 | semidirect |
| 2. #17986403 | C2 | semidirect |
| 3. #17986374 | C2 | semidirect |
| 4. #17986344 | C2 | semidirect |
| 5. #17986235 | C2 | semidirect |
| 6. #17986233 | C2 | semidirect |
| 7. D8×Dic71 | C2 | semidirect |
| 8. #17986081 | C2 | semidirect |
| 9. #17986079 | C2 | semidirect |
| 10. C2×C8×Dic71 | C2 | semidirect |
| 11. #466×C71 | C2 | semidirect |
| 89. C2×Dic71 | D8 | semidirect |
| 99. C8×C71 | #41 | semidirect |
| 101. C71⋊C8 | #41 | semidirect |
| 128. C71 | #3169 | semidirect |
| 135. #466 | D71 | semidirect |
| 229. C8 | #11765864 | semidirect |