Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 4. #18012664 | C2 | semidirect |
| 5. #18012663 | C2 | semidirect |
| 6. #18012662 | C2 | semidirect |
| 7. #103×C151 | C2 | semidirect |
| 11. Q8×D151 | C4 | semidirect |
| 25. Dic302 | C2×C4 | semidirect |
| 35. Q8×C151 | C2×C4 | semidirect |
| 54. D151 | #103 | direct (N × H) |
| 55. C151 | C2×#103 | semidirect |
| 63. #103 | D151 | direct (N × H) |
| 83. Q8 | C4×D151 | semidirect |