Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17986630 | C2 | semidirect |
| 3. #17986366 | C2 | semidirect |
| 4. #17986360 | C2 | semidirect |
| 5. #17986355 | C2 | semidirect |
| 6. #17986348 | C2 | semidirect |
| 7. #17986008 | C2 | semidirect |
| 10. #17985954 | C2 | semidirect |
| 11. C2×#103×C71 | C2 | semidirect |
| 128. C71 | #3137 | semidirect |
| 138. C2×#103 | D71 | semidirect |