Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
258 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×Q8×D167 | C2 | semidirect |
| 3. #19128865 | C2 | semidirect |
| 4. #19128864 | C2 | semidirect |
| 5. #19128863 | C2 | semidirect |
| 6. #19128862 | C2 | semidirect |
| 7. #19128861 | C2 | semidirect |
| 8. Q16×D167 | C2 | semidirect |
| 9. SD16×D167 | C2 | semidirect |
| 10. M16×D167 | C2 | semidirect |
| 11. #137×C167 | C2 | semidirect |
| 18. C2×Dic334 | C22 | semidirect |
| 23. Q8×D167 | C22 | semidirect |
| 29. Dic668 | C22 | semidirect |
| 30. #14581940 | C22 | semidirect |
| 31. #14581940 | C22 | semidirect |
| 32. #14581939 | C22 | semidirect |
| 33. #14581938 | C22 | semidirect |
| 34. #14581937 | C22 | semidirect |
| 35. #14581934 | C22 | semidirect |
| 36. #14581933 | C22 | semidirect |
| 39. C2×Q8×C167 | C22 | semidirect |
| 40. Q16×C167 | C22 | semidirect |
| 41. SD16×C167 | C22 | semidirect |
| 42. M16×C167 | C22 | semidirect |
| 98. D167 | #137 | direct (N × H) |
| 99. C167 | C2×#137 | semidirect |
| 108. #137 | D167 | direct (N × H) |
| 125. C2×Q8 | C2×D167 | semidirect |
| 134. Q16 | C2×D167 | semidirect |
| 138. SD16 | C2×D167 | semidirect |
| 141. M16 | C2×D167 | semidirect |