Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
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. #19128877 | C2 | semidirect |
| 2. #19128858 | C2 | semidirect |
| 3. #19128856 | C2 | semidirect |
| 4. #19128854 | C2 | semidirect |
| 5. #19128851 | C2 | semidirect |
| 6. D8×D167 | C2 | semidirect |
| 7. #19128838 | C2 | semidirect |
| 8. C2×D8×C167 | C2 | semidirect |
| 10. #14581950 | C22 | semidirect |
| 12. #14581949 | C22 | semidirect |
| 15. D4×D167 | C22 | semidirect |
| 16. Dic668 | C22 | semidirect |
| 17. #14581939 | C22 | semidirect |
| 18. #14581938 | C22 | semidirect |
| 19. D1336 | C22 | semidirect |
| 20. #14581935 | C22 | semidirect |
| 21. #14581934 | C22 | semidirect |
| 22. #14581933 | C22 | semidirect |
| 23. C8×D167 | C22 | semidirect |
| 24. C2×D4×C167 | C22 | semidirect |
| 25. D8×C167 | C22 | semidirect |
| 26. D8×C167 | C22 | semidirect |
| 27. C2×C8×C167 | C22 | semidirect |
| 62. C167 | #576 | semidirect |
| 70. C2×D8 | D167 | semidirect |
| 79. C2×D4 | C2×D167 | semidirect |
| 85. D8 | C2×D167 | semidirect |
| 86. D8 | C2×D167 | semidirect |
| 90. C2×C8 | C2×D167 | semidirect |