Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
466 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 145 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. #20268589 | C2 | semidirect |
| 2. C2×#15693049 | C2 | semidirect |
| 3. C2×#15693046 | C2 | semidirect |
| 4. #20268061 | C2 | semidirect |
| 5. #20268054 | C2 | semidirect |
| 6. #20267840 | C2 | semidirect |
| 7. #20267773 | C2 | semidirect |
| 8. C2×#15692937 | C2 | semidirect |
| 9. #568×C103 | C2 | semidirect |
| 13. #15693051 | C22 | semidirect |
| 19. #15693046 | C22 | semidirect |
| 21. C2×#13110094 | C22 | semidirect |
| 23. C2×D824 | C22 | semidirect |
| 27. #15692957 | C22 | semidirect |
| 28. #15692939 | C22 | semidirect |
| 29. #15692937 | C22 | semidirect |
| 30. #15692937 | C22 | semidirect |
| 33. #131×C103 | C22 | semidirect |
| 148. C103 | #3068 | semidirect |
| 152. #568 | D103 | semidirect |
| 175. #131 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268589 | 2 |
| C2×#15693049 | 2 |
| C2×#15693046 | 2 |
| #20268061 | 2 |
| #20268054 | 2 |
| #20267840 | 2 |
| #20267773 | 2 |
| C2×#15692937 | 2 |
| #568×C103 | 2 |
| #3068 | 103 |