Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
596 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 165 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×#15693043 | C2 | semidirect |
| 3. C22×D824 | C2 | semidirect |
| 4. #20268360 | C2 | semidirect |
| 5. #20268180 | C2 | semidirect |
| 6. #20268175 | C2 | semidirect |
| 7. #20268168 | C2 | semidirect |
| 8. #405×C103 | C2 | semidirect |
| 13. C2×Dic412 | C22 | semidirect |
| 14. C2×#13110094 | C22 | semidirect |
| 15. C2×#13110094 | C22 | semidirect |
| 19. C2×D824 | C22 | semidirect |
| 20. C2×D824 | C22 | semidirect |
| 21. #15693018 | C22 | semidirect |
| 22. #15693009 | C22 | semidirect |
| 28. #97×C103 | C22 | semidirect |
| 29. C4×C8×C103 | C22 | semidirect |
| 51. M16×C103 | D4 | semidirect |
| 52. C2×C8×C103 | D4 | semidirect |
| 102. C103 | #3155 | semidirect |
| 110. #405 | D103 | semidirect |
| 130. #97 | C2×D103 | semidirect |
| 131. C4×C8 | C2×D103 | semidirect |
| 152. M16 | D412 | semidirect |
| 153. C2×C8 | D412 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693049 | 2 |
| C2×#15693043 | 2 |
| C22×D824 | 2 |
| #20268360 | 2 |
| #20268180 | 2 |
| #20268175 | 2 |
| #20268168 | 2 |
| #405×C103 | 2 |
| #3155 | 103 |