Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 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. #18012732 | C2 | semidirect |
| 2. #18012732 | C2 | semidirect |
| 3. #18012725 | C2 | semidirect |
| 4. #18012723 | C2 | semidirect |
| 5. #18012722 | C2 | semidirect |
| 6. #18012721 | C2 | semidirect |
| 7. #18012718 | C2 | semidirect |
| 8. #18012716 | C2 | semidirect |
| 10. C4×C22⋊D151 | C2 | semidirect |
| 11. (C22⋊D151)⋊C4 | C2 | semidirect |
| 12. #18012698 | C2 | semidirect |
| 13. #18012695 | C2 | semidirect |
| 14. C2×C22⋊Dic151 | C2 | semidirect |
| 15. C2×C22⋊C4×C151 | C2 | semidirect |
| 16. C2×Dic302 | C22 | semidirect |
| 22. C2×C4×D151 | C22 | semidirect |
| 23. C4⋊Dic151 | C22 | semidirect |
| 24. C4⋊Dic151 | C22 | semidirect |
| 25. C4⋊Dic151 | C22 | semidirect |
| 26. Dic151⋊C4 | C22 | semidirect |
| 27. Dic151⋊C4 | C22 | semidirect |
| 28. Dic151⋊C4 | C22 | semidirect |
| 29. Dic151⋊C4 | C22 | semidirect |
| 30. Dic151⋊C4 | C22 | semidirect |
| 38. (C2×D151)⋊C4 | C22 | semidirect |
| 39. (C2×D151)⋊C4 | C22 | semidirect |
| 40. (C2×D151)⋊C4 | C22 | semidirect |
| 41. C4×Dic151 | C22 | semidirect |
| 42. C4×Dic151 | C22 | semidirect |
| 43. C4×Dic151 | C22 | semidirect |
| 110. C151 | #551 | semidirect |
| 126. C2×C22⋊C4 | D151 | semidirect |