Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19128878 | C2 | semidirect |
| 2. #19128863 | C2 | semidirect |
| 3. #19128857 | C2 | semidirect |
| 4. #19128852 | C2 | semidirect |
| 5. C2×#14581937 | C2 | semidirect |
| 6. #19128839 | C2 | semidirect |
| 7. 2−1+4×C167 | C2 | semidirect |
| 12. #14581940 | C22 | semidirect |
| 13. #14581938 | C22 | semidirect |
| 14. #14581937 | C22 | semidirect |
| 15. #14581937 | C22 | semidirect |
| 16. #14581935 | C22 | semidirect |
| 17. #14581934 | C22 | semidirect |
| 18. C2×C167⋊C8 | C22 | semidirect |
| 21. #41×C167 | C22 | semidirect |
| 23. C2×Q8×C167 | C22 | semidirect |
| 53. C167 | #577 | semidirect |
| 55. 2−1+4 | D167 | semidirect |
| 66. #41 | C2×D167 | semidirect |
| 68. C2×Q8 | C2×D167 | semidirect |