Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 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. #19128880 | C2 | semidirect |
| 2. #19128879 | C2 | semidirect |
| 3. #19128865 | C2 | semidirect |
| 4. #19128864 | C2 | semidirect |
| 5. #19128861 | C2 | semidirect |
| 6. #19128853 | C2 | semidirect |
| 7. #19128852 | C2 | semidirect |
| 8. C2×#14581940 | C2 | semidirect |
| 9. Q16×D167 | C2 | semidirect |
| 10. #19128840 | C2 | semidirect |
| 11. #137×C167 | C2 | semidirect |
| 87. C167 | #578 | semidirect |
| 94. #137 | D167 | semidirect |