Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
234 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 99 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. #18012734 | C2 | semidirect |
| 2. #18012732 | C2 | semidirect |
| 3. #18012729 | C2 | semidirect |
| 4. #18012725 | C2 | semidirect |
| 5. #18012724 | C2 | semidirect |
| 6. #18012721 | C2 | semidirect |
| 7. #18012717 | C2 | semidirect |
| 9. C4×Dic302 | C2 | semidirect |
| 10. C4×D604 | C2 | semidirect |
| 11. C4×C22⋊D151 | C2 | semidirect |
| 12. C4×C22⋊D151 | C2 | semidirect |
| 13. #18012696 | C2 | semidirect |
| 14. C42×D151 | C2 | semidirect |
| 15. #117×C151 | C2 | semidirect |
| 103. C151 | #529 | semidirect |
| 118. #117 | D151 | semidirect |