Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
216 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19128831 | C2 | semidirect |
| 2. #19128827 | C2 | semidirect |
| 3. #19128821 | C2 | semidirect |
| 4. #19128818 | C2 | semidirect |
| 5. #19128814 | C2 | semidirect |
| 6. #19128812 | C2 | semidirect |
| 8. Q8×Dic167 | C2 | semidirect |
| 9. #19128794 | C2 | semidirect |
| 10. #19128791 | C2 | semidirect |
| 11. C22⋊Q8×C167 | C2 | semidirect |
| 73. C167 | #542 | semidirect |
| 81. C22⋊Q8 | D167 | semidirect |