Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
222 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 222 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. #17986027 | C2 | semidirect |
| 5. C2×#14556038 | C2 | semidirect |
| 6. #17985760 | C2 | semidirect |
| 7. #341×C71 | C2 | semidirect |
| 14. #14556053 | C4 | semidirect |
| 15. #14556050 | C4 | semidirect |
| 91. C71 | #1938 | semidirect |
| 97. #341 | D71 | semidirect |