Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 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 |
|---|---|---|
| 1. #18012733 | C2 | semidirect |
| 2. #18012731 | C2 | semidirect |
| 3. #18012727 | C2 | semidirect |
| 4. #18012722 | C2 | semidirect |
| 5. #18012718 | C2 | semidirect |
| 7. C4×Dic302 | C2 | semidirect |
| 8. C4×D604 | C2 | semidirect |
| 9. C4×C22⋊D151 | C2 | semidirect |
| 10. #18012696 | C2 | semidirect |
| 11. C2×C42×C151 | C2 | semidirect |
| 74. C151 | #529 | semidirect |
| 86. C2×C42 | D151 | semidirect |