Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 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 |
|---|---|---|
| 1. #19128827 | C2 | semidirect |
| 2. #19128825 | C2 | semidirect |
| 3. #19128822 | C2 | semidirect |
| 4. #19128818 | C2 | semidirect |
| 5. #19128816 | C2 | semidirect |
| 6. #19128813 | C2 | semidirect |
| 7. #19128809 | C2 | semidirect |
| 9. C4×Dic334 | C2 | semidirect |
| 10. C4×C22⋊D167 | C2 | semidirect |
| 11. C4×C22⋊D167 | C2 | semidirect |
| 12. #19128791 | C2 | semidirect |
| 13. #19128789 | C2 | semidirect |
| 14. C2×C4×Dic167 | C2 | semidirect |
| 15. C4×D4×C167 | C2 | semidirect |
| 103. C167 | #529 | semidirect |
| 116. C4×D4 | D167 | semidirect |