Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
| 3. C2×Q8×Dic71 | C2 | semidirect |
| 4. #17986223 | C2 | semidirect |
| 5. #17986219 | C2 | semidirect |
| 6. #17986207 | C2 | semidirect |
| 7. #17986197 | C2 | semidirect |
| 8. #17986022 | C2 | semidirect |
| 9. #17986001 | C2 | semidirect |
| 10. #17986000 | C2 | semidirect |
| 11. C2×#137×C71 | C2 | semidirect |
| 80. C2×Q8×C71 | D4 | semidirect |
| 150. Dic71 | #137 | semidirect |
| 158. C71 | #3037 | semidirect |
| 160. C2×#137 | D71 | semidirect |
| 210. C2×Q8 | C22⋊D71 | semidirect |