Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
196 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 91 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. #18012738 | C2 | semidirect |
| 2. #18012737 | C2 | semidirect |
| 3. #18012734 | C2 | semidirect |
| 4. #18012734 | C2 | semidirect |
| 5. #18012732 | C2 | semidirect |
| 6. #18012732 | C2 | semidirect |
| 7. #18012730 | C2 | semidirect |
| 8. #18012729 | C2 | semidirect |
| 12. #18012718 | C2 | semidirect |
| 13. #18012717 | C2 | semidirect |
| 14. #18012715 | C2 | semidirect |
| 15. C22⋊Q8×C151 | C2 | semidirect |
| 97. C151 | #563 | semidirect |
| 113. C22⋊Q8 | D151 | semidirect |