Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
122 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 51 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. Q8×Dic151 | C2 | semidirect |
| 4. #18012670 | C2 | semidirect |
| 6. C8×Dic151 | C2 | semidirect |
| 7. #103×C151 | C2 | semidirect |
| 10. #14558991 | C4 | semidirect |
| 27. C151⋊C8 | C2×C4 | semidirect |
| 29. Q8×C151 | C2×C4 | semidirect |
| 44. Dic151 | SD16 | semidirect |
| 49. C151 | C4×SD16 | semidirect |
| 55. #103 | D151 | semidirect |
| 72. Q8 | C4×D151 | semidirect |