Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
1412 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1412 conjugacy classes of subgroups — too many to draw. Only its 545 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. #20268627 | C2 | semidirect |
| 2. C2×#15693068 | C2 | semidirect |
| 3. #20268608 | C2 | semidirect |
| 4. #20268603 | C2 | semidirect |
| 5. #20268591 | C2 | semidirect |
| 6. C2×#15693054 | C2 | semidirect |
| 7. #568×C103 | C2 | semidirect |
| 10. #15693068 | C22 | semidirect |
| 11. #15693068 | C22 | semidirect |
| 12. #15693067 | C22 | semidirect |
| 15. C2×#13110105 | C22 | semidirect |
| 18. C22×Dic206 | C22 | semidirect |
| 20. #15693054 | C22 | semidirect |
| 21. #15693054 | C22 | semidirect |
| 22. #15693054 | C22 | semidirect |
| 23. #15693049 | C22 | semidirect |
| 24. #15693049 | C22 | semidirect |
| 25. #15693043 | C22 | semidirect |
| 26. C2×Dic412 | C22 | semidirect |
| 27. C2×#13110094 | C22 | semidirect |
| 29. #131×C103 | C22 | semidirect |
| 30. C2×M16×C103 | C22 | semidirect |
| 113. C103 | #3586 | semidirect |
| 120. #568 | D103 | semidirect |
| 142. #131 | C2×D103 | semidirect |
| 143. C2×M16 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268627 | 2 |
| C2×#15693068 | 2 |
| #20268608 | 2 |
| #20268603 | 2 |
| #20268591 | 2 |
| C2×#15693054 | 2 |
| #568×C103 | 2 |
| #3586 | 103 |