Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
464 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 2. C2×#15693029 | C2 | semidirect |
| 3. #20267912 | C2 | direct (N × H) |
| 4. C2×#15692947 | C2 | semidirect |
| 5. C2×#15692931 | C2 | semidirect |
| 6. C2×#108×C103 | C2 | semidirect |
| 8. #15693043 | C4 | semidirect |
| 10. C2×Dic412 | C4 | semidirect |
| 11. C2×#13110094 | C4 | semidirect |
| 12. C2×D824 | C4 | semidirect |
| 14. #15693029 | C22 | semidirect |
| 19. #15692947 | C22 | semidirect |
| 20. #15692931 | C22 | semidirect |
| 23. #108×C103 | C22 | semidirect |
| 33. Dic412 | C2×C4 | semidirect |
| 34. #13110094 | C2×C4 | semidirect |
| 35. D824 | C2×C4 | semidirect |
| 88. C2×C103 | #444 | semidirect |
| 92. C103 | C2×#444 | semidirect |
| 96. C2×#108 | D103 | semidirect |
| 113. #108 | C2×D103 | semidirect |
| 181. C2 | #20267912 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| C2×#15693029 | 2 |
| #20267912 | 2 |
| C2×#15692947 | 2 |
| C2×#15692931 | 2 |
| C2×#108×C103 | 2 |
| C2×#444 | 103 |