Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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. #17986026 | C2 | semidirect |
| 5. C2×C4×C71⋊C8 | C2 | semidirect |
| 6. #17985763 | C2 | semidirect |
| 7. #339×C71 | C2 | semidirect |
| 14. #14556051 | C4 | semidirect |
| 15. #14556048 | C4 | semidirect |
| 91. C71 | #1937 | semidirect |
| 98. #339 | D71 | semidirect |