Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
228 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19128830 | C2 | semidirect |
| 2. #19128822 | C2 | semidirect |
| 3. #19128822 | C2 | semidirect |
| 4. #19128810 | C2 | semidirect |
| 5. #19128810 | C2 | semidirect |
| 6. #19128809 | C2 | semidirect |
| 7. #19128809 | C2 | semidirect |
| 8. #19128808 | C2 | semidirect |
| 9. #19128797 | C2 | semidirect |
| 13. C2×Dic167⋊C4 | C2 | semidirect |
| 14. C4⋊C4×D167 | C2 | semidirect |
| 15. C22⋊Q8×C167 | C2 | semidirect |
| 54. C22⋊D167 | Q8 | semidirect |
| 101. C167 | #554 | semidirect |
| 111. C22⋊Q8 | D167 | semidirect |