Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. #20268419 | C2 | semidirect |
| 2. #20268155 | C2 | semidirect |
| 3. #20268150 | C2 | semidirect |
| 4. #20268145 | C2 | semidirect |
| 5. #20268137 | C2 | semidirect |
| 6. #20267796 | C2 | semidirect |
| 7. #20267792 | C2 | semidirect |
| 8. #20267787 | C2 | semidirect |
| 9. C2×#15692942 | C2 | semidirect |
| 10. #20267747 | C2 | semidirect |
| 14. #15693021 | C22 | semidirect |
| 16. #15693013 | C22 | semidirect |
| 21. #15692945 | C22 | semidirect |
| 22. #15692945 | C22 | semidirect |
| 23. #15692945 | C22 | semidirect |
| 28. #15692942 | C22 | semidirect |
| 29. #15692942 | C22 | semidirect |
| 30. #15692942 | C22 | semidirect |
| 31. #15692932 | C22 | semidirect |
| 32. C4×C103⋊C8 | C22 | semidirect |
| 136. C103 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268419 | 2 |
| #20268155 | 2 |
| #20268150 | 2 |
| #20268145 | 2 |
| #20268137 | 2 |
| #20267796 | 2 |
| #20267792 | 2 |
| #20267787 | 2 |
| C2×#15692942 | 2 |
| #20267747 | 2 |
| #535×C103 | 2 |
| #3136 | 103 |