Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#15693043 | C2 | semidirect |
| 2. #20268232 | C2 | semidirect |
| 3. #20268231 | C2 | semidirect |
| 4. #20268227 | C2 | semidirect |
| 5. #20268226 | C2 | semidirect |
| 6. #20268221 | C2 | semidirect |
| 7. C2×#15692961 | C2 | semidirect |
| 8. C2×#135×C103 | C2 | semidirect |
| 13. #15693043 | C22 | semidirect |
| 14. C2×Dic412 | C22 | semidirect |
| 16. C2×D824 | C22 | semidirect |
| 17. #15692967 | C22 | semidirect |
| 18. #15692965 | C22 | semidirect |
| 19. #15692964 | C22 | semidirect |
| 20. #15692962 | C22 | semidirect |
| 21. #15692961 | C22 | semidirect |
| 22. #15692961 | C22 | semidirect |
| 23. C2×C103⋊C16 | C22 | semidirect |
| 28. #135×C103 | C22 | semidirect |
| 29. C2×Q16×C103 | C22 | semidirect |
| 31. C2×D8×C103 | C22 | semidirect |
| 121. C103 | #3414 | semidirect |
| 123. C2×#135 | D103 | semidirect |
| 139. #135 | C2×D103 | semidirect |
| 141. C2×Q16 | C2×D103 | semidirect |
| 145. C2×D8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| #20268232 | 2 |
| #20268231 | 2 |
| #20268227 | 2 |
| #20268226 | 2 |
| #20268221 | 2 |
| C2×#15692961 | 2 |
| C2×#135×C103 | 2 |
| #3414 | 103 |