Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
504 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#15693040 | C2 | semidirect |
| 3. #20268459 | C2 | semidirect |
| 4. #20268166 | C2 | semidirect |
| 5. #20268028 | C2 | semidirect |
| 6. #20267990 | C2 | semidirect |
| 7. #20267937 | C2 | semidirect |
| 8. #20267934 | C2 | semidirect |
| 9. #20267885 | C2 | semidirect |
| 10. C8×C22⋊D103 | C2 | semidirect |
| 11. #466×C103 | C2 | semidirect |
| 56. Dic412 | D4 | semidirect |
| 134. Dic103 | #135 | semidirect |
| 143. C103 | #3287 | semidirect |
| 149. #466 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| C2×#15693040 | 2 |
| #20268459 | 2 |
| #20268166 | 2 |
| #20268028 | 2 |
| #20267990 | 2 |
| #20267937 | 2 |
| #20267934 | 2 |
| #20267885 | 2 |
| C8×C22⋊D103 | 2 |
| #466×C103 | 2 |
| #3287 | 103 |