Finite Group DatabasebetaFinite Group DatabasebetaOrder 9664.
248 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 97 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. #18012734 | C2 | semidirect |
| 2. #18012734 | C2 | semidirect |
| 3. #18012728 | C2 | semidirect |
| 4. #18012724 | C2 | semidirect |
| 5. #18012724 | C2 | semidirect |
| 6. #18012723 | C2 | semidirect |
| 7. #18012715 | C2 | semidirect |
| 9. #18012701 | C2 | semidirect |
| 10. C4×C22⋊D151 | C2 | semidirect |
| 11. #18012697 | C2 | semidirect |
| 12. #18012695 | C2 | semidirect |
| 13. C2×(C2×D151)⋊C4 | C2 | semidirect |
| 14. C22⋊C4×D151 | C2 | semidirect |
| 15. C22⋊Q8×C151 | C2 | semidirect |
| 23. C2×C4×D151 | 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 |
| 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 |
| 44. C2×Q8×C151 | C22 | semidirect |
| 46. C4⋊C4×C151 | C22 | semidirect |
| 47. C4⋊C4×C151 | C22 | semidirect |
| 48. C4⋊C4×C151 | C22 | semidirect |
| 110. C151 | #551 | semidirect |
| 119. C22⋊Q8 | D151 | semidirect |
| 128. C2×Q8 | C2×D151 | semidirect |
| 142. C4⋊C4 | C2×D151 | semidirect |
| 143. C4⋊C4 | C2×D151 | semidirect |
| 144. C4⋊C4 | C2×D151 | semidirect |