Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #17986047 | C2 | semidirect |
| 5. #17985771 | C2 | semidirect |
| 6. #17985759 | C2 | semidirect |
| 7. C4×M16×C71 | C2 | semidirect |
| 16. #14556046 | C4 | semidirect |
| 17. #14556044 | C4 | semidirect |
| 96. C71 | #1932 | semidirect |
| 101. C4×M16 | D71 | semidirect |