Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q16×D71 | C2 | semidirect |
| 4. #17986258 | C2 | semidirect |
| 5. #17986257 | C2 | semidirect |
| 6. #17986254 | C2 | semidirect |
| 7. #17986239 | C2 | semidirect |
| 8. #17986238 | C2 | semidirect |
| 9. #17986034 | C2 | semidirect |
| 10. #17986006 | C2 | semidirect |
| 11. #470×C71 | C2 | semidirect |
| 134. C71 | #3059 | semidirect |
| 141. #470 | D71 | semidirect |