Finite Group DatabasebetaFinite Group DatabasebetaOrder 10688.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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. #19128797 | C2 | semidirect |
| 3. #19128794 | C2 | semidirect |
| 4. (C22⋊D167)⋊C4 | C2 | semidirect |
| 5. #19128789 | C2 | semidirect |
| 6. C2×C4×Dic167 | C2 | semidirect |
| 7. C42×D167 | C2 | semidirect |
| 8. #117×C167 | C2 | semidirect |
| 9. #14581950 | C4 | semidirect |
| 27. Dic334 | C2×C4 | semidirect |
| 28. D668 | C2×C4 | semidirect |
| 29. C22⋊D167 | C2×C4 | semidirect |
| 35. C4×D167 | C2×C4 | semidirect |
| 37. C2×C4×C167 | C2×C4 | semidirect |
| 51. Dic167 | #41 | semidirect |
| 56. C167 | C4×#41 | semidirect |
| 63. #117 | D167 | semidirect |
| 94. C2×C4 | C4×D167 | semidirect |