Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
158 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 2. #19128788 | C2 | semidirect |
| 3. #19128747 | C2 | semidirect |
| 4. #19128746 | C2 | semidirect |
| 5. #99×C167 | C2 | semidirect |
| 8. C2×Dic334 | C4 | semidirect |
| 9. C2×C22⋊D167 | C4 | semidirect |
| 11. C22×Dic167 | C4 | semidirect |
| 13. C2×C4×D167 | C4 | semidirect |
| 57. C167 | #410 | semidirect |
| 63. #99 | D167 | semidirect |