Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
154 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19128791 | C2 | semidirect |
| 3. #19128758 | C2 | semidirect |
| 4. C2×M16×C167 | C2 | semidirect |
| 7. #14581950 | C4 | semidirect |
| 9. C2×Dic334 | C4 | semidirect |
| 10. C2×D668 | C4 | semidirect |
| 15. C4×Dic167 | C22 | semidirect |
| 18. M16×C167 | C22 | semidirect |
| 56. C167 | #421 | semidirect |
| 59. C2×M16 | D167 | semidirect |
| 72. M16 | C2×D167 | semidirect |