Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
688 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 173 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. #20294926 | C2 | semidirect |
| 3. #20294920 | C2 | semidirect |
| 4. #20294914 | C2 | semidirect |
| 5. #20294902 | C2 | semidirect |
| 6. #20294882 | C2 | semidirect |
| 7. #379×C109 | C2 | semidirect |
| 9. C22×C4×D109 | C22 | semidirect |
| 10. #16812668 | C4 | semidirect |
| 11. C2×#13182008 | C22 | semidirect |
| 15. C2×#13182006 | C22 | semidirect |
| 16. C2×C4×Dic109 | C22 | semidirect |
| 17. #16812606 | C22 | semidirect |
| 18. #16812606 | C22 | semidirect |
| 33. C22⋊Dic109 | C2×C4 | semidirect |
| 38. C24×C109 | C2×C4 | semidirect |
| 96. C109 | #2375 | semidirect |
| 103. #379 | D109 | semidirect |
| 121. C24 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812668 | 2 |
| #20294926 | 2 |
| #20294920 | 2 |
| #20294914 | 2 |
| #20294902 | 2 |
| #20294882 | 2 |
| #379×C109 | 2 |
| #2375 | 109 |