Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#15693049 | C2 | semidirect |
| 2. C2×#15693046 | C2 | semidirect |
| 3. #20268337 | C2 | semidirect |
| 4. C2×#15692983 | C2 | semidirect |
| 5. #20268009 | C2 | semidirect |
| 6. #20268005 | C2 | semidirect |
| 7. #20267995 | C2 | semidirect |
| 8. #20267985 | C2 | semidirect |
| 9. #20267814 | C2 | semidirect |
| 10. #20267790 | C2 | semidirect |
| 11. #417×C103 | C2 | semidirect |
| 22. #15693019 | C22 | semidirect |
| 23. #15693017 | C22 | semidirect |
| 24. #15693010 | C22 | semidirect |
| 25. #15693008 | C22 | semidirect |
| 36. Dic103⋊C8 | C22 | semidirect |
| 37. Dic103⋊C8 | C22 | semidirect |
| 38. #15692944 | C22 | semidirect |
| 39. #15692941 | C22 | semidirect |
| 43. #103×C103 | C22 | semidirect |
| 44. #102×C103 | C22 | semidirect |
| 51. C2×D412 | D4 | semidirect |
| 158. Dic103 | AGL(1,ℤ/8) | semidirect |
| 167. C103 | #3036 | semidirect |
| 178. #417 | D103 | semidirect |
| 209. #103 | C2×D103 | semidirect |
| 211. #102 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693049 | 2 |
| C2×#15693046 | 2 |
| #20268337 | 2 |
| C2×#15692983 | 2 |
| #20268009 | 2 |
| #20268005 | 2 |
| #20267995 | 2 |
| #20267985 | 2 |
| #20267814 | 2 |
| #20267790 | 2 |
| #417×C103 | 2 |
| #3036 | 103 |