Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
258 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 258 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. #18012787 | C2 | semidirect |
| 2. #18012785 | C2 | semidirect |
| 3. #18012771 | C2 | semidirect |
| 4. #18012767 | C2 | semidirect |
| 5. #18012766 | C2 | semidirect |
| 6. #18012762 | C2 | semidirect |
| 7. #18012759 | C2 | semidirect |
| 8. C2×#14558991 | C2 | semidirect |
| 9. SD16×D151 | C2 | semidirect |
| 10. #18012747 | C2 | semidirect |
| 11. #137×C151 | C2 | semidirect |
| 14. #14559005 | C22 | semidirect |
| 18. #14559004 | C22 | semidirect |
| 20. Q8×D151 | C22 | semidirect |
| 25. #14558994 | C22 | semidirect |
| 26. #14558993 | C22 | semidirect |
| 27. #14558992 | C22 | semidirect |
| 28. #14558991 | C22 | semidirect |
| 29. #14558991 | C22 | semidirect |
| 30. #14558991 | C22 | semidirect |
| 31. D1208 | C22 | semidirect |
| 32. #14558989 | C22 | semidirect |
| 33. #14558987 | C22 | semidirect |
| 34. C2×C151⋊C8 | C22 | semidirect |
| 35. C8×D151 | C22 | semidirect |
| 37. C2×Q8×C151 | C22 | semidirect |
| 38. Q16×C151 | C22 | semidirect |
| 39. SD16×C151 | C22 | semidirect |
| 40. M16×C151 | C22 | semidirect |
| 90. C151 | #577 | semidirect |
| 95. #137 | D151 | semidirect |
| 113. C2×Q8 | C2×D151 | semidirect |
| 119. Q16 | C2×D151 | semidirect |
| 125. SD16 | C2×D151 | semidirect |
| 129. M16 | C2×D151 | semidirect |