Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
266 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 149 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. #18012747 | C2 | semidirect |
| 3. #18012746 | C2 | semidirect |
| 4. #18012745 | C2 | semidirect |
| 5. M16×D151 | C2 | semidirect |
| 6. C2×C8×D151 | C2 | semidirect |
| 7. #131×C151 | C2 | semidirect |
| 14. #14558988 | C22 | semidirect |
| 15. #14558987 | C22 | semidirect |
| 16. C2×C151⋊C8 | C22 | semidirect |
| 19. C8×D151 | C22 | semidirect |
| 20. C8×D151 | C22 | semidirect |
| 22. M16×C151 | C22 | semidirect |
| 23. C2×C8×C151 | C22 | semidirect |
| 51. D151 | #131 | direct (N × H) |
| 52. C151 | C2×#131 | semidirect |
| 58. #131 | D151 | direct (N × H) |
| 70. M16 | C2×D151 | semidirect |
| 76. C2×C8 | C2×D151 | semidirect |