Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14556159 | C2 | semidirect |
| 2. C2×#14556134 | C2 | semidirect |
| 4. #17986573 | C2 | semidirect |
| 5. #17986256 | C2 | semidirect |
| 6. #17986248 | C2 | semidirect |
| 7. #17986239 | C2 | semidirect |
| 8. #17986231 | C2 | semidirect |
| 9. #17986039 | C2 | semidirect |
| 10. #17985996 | C2 | semidirect |
| 11. C2×#103×C71 | C2 | semidirect |
| 58. #11765849 | D4 | semidirect |
| 144. C71 | #3063 | semidirect |
| 155. C2×#103 | D71 | semidirect |