Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
270 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 2. C2×Q8×D151 | C2 | semidirect |
| 3. #18012738 | C2 | semidirect |
| 4. #18012725 | C2 | semidirect |
| 5. #18012724 | C2 | semidirect |
| 6. #18012721 | C2 | semidirect |
| 7. #18012719 | C2 | semidirect |
| 8. #18012718 | C2 | semidirect |
| 9. #18012715 | C2 | semidirect |
| 10. #18012697 | C2 | semidirect |
| 11. C22⋊Q8×C151 | C2 | semidirect |
| 83. C151 | #536 | semidirect |
| 94. C22⋊Q8 | D151 | semidirect |