Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
268 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 99 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. #18012785 | C2 | semidirect |
| 2. #18012784 | C2 | semidirect |
| 3. #18012767 | C2 | semidirect |
| 4. #18012766 | C2 | semidirect |
| 5. #18012763 | C2 | semidirect |
| 6. #18012760 | C2 | semidirect |
| 7. #18012759 | C2 | semidirect |
| 8. C2×#14558989 | C2 | semidirect |
| 9. D8×D151 | C2 | semidirect |
| 10. #18012747 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C151 | C2 | semidirect |
| 12. #14559005 | C22 | semidirect |
| 15. #14559004 | C22 | semidirect |
| 17. #14559003 | C22 | semidirect |
| 19. C2×D604 | C22 | semidirect |
| 23. D4×D151 | C22 | semidirect |
| 24. D4×D151 | C22 | semidirect |
| 25. #14558994 | C22 | semidirect |
| 26. #14558993 | C22 | semidirect |
| 27. #14558992 | C22 | semidirect |
| 28. #14558991 | C22 | semidirect |
| 29. D1208 | C22 | semidirect |
| 30. #14558989 | C22 | semidirect |
| 31. #14558989 | C22 | semidirect |
| 32. #14558989 | C22 | semidirect |
| 33. #14558987 | C22 | semidirect |
| 34. C2×C151⋊C8 | C22 | semidirect |
| 35. C8×D151 | C22 | semidirect |
| 36. #41×C151 | C22 | semidirect |
| 37. C2×D4×C151 | C22 | semidirect |
| 38. SD16×C151 | C22 | semidirect |
| 39. D8×C151 | C22 | semidirect |
| 40. M16×C151 | C22 | semidirect |
| 93. C151 | #576 | semidirect |
| 100. AGL(1,ℤ/8) | D151 | semidirect |
| 112. #41 | C2×D151 | semidirect |
| 120. C2×D4 | C2×D151 | semidirect |
| 125. SD16 | C2×D151 | semidirect |
| 130. D8 | C2×D151 | semidirect |
| 132. M16 | C2×D151 | semidirect |