Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
294 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 151 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. C4×Dic334 | C2 | semidirect |
| 3. #19128797 | C2 | semidirect |
| 4. D4×Dic167 | C2 | semidirect |
| 5. C4×C22⋊D167 | C2 | semidirect |
| 6. (C22⋊D167)⋊C4 | C2 | semidirect |
| 7. #19128789 | C2 | semidirect |
| 8. #19128788 | C2 | semidirect |
| 9. C2×Dic167⋊C4 | C2 | semidirect |
| 10. C4⋊C4×D167 | C2 | semidirect |
| 11. C4×D4×C167 | C2 | semidirect |
| 12. #14581949 | C4 | semidirect |
| 37. Dic334 | C2×C4 | semidirect |
| 38. C22⋊D167 | C2×C4 | semidirect |
| 40. C2×Dic167 | C2×C4 | semidirect |
| 47. C4×D167 | C2×C4 | semidirect |
| 49. D4×C167 | C2×C4 | semidirect |
| 76. C167 | #520 | semidirect |
| 84. C4×D4 | D167 | semidirect |
| 117. D4 | C4×D167 | semidirect |