Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#15693051 | C2 | semidirect |
| 2. C2×#15693028 | C2 | semidirect |
| 3. #20268362 | C2 | semidirect |
| 4. #20268047 | C2 | semidirect |
| 5. #20268035 | C2 | semidirect |
| 6. #20268030 | C2 | semidirect |
| 7. #20268018 | C2 | semidirect |
| 8. #20267831 | C2 | semidirect |
| 9. #20267787 | C2 | semidirect |
| 10. C2×#15692944 | C2 | semidirect |
| 51. #13110089 | D4 | semidirect |
| 144. C103 | #3063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693051 | 2 |
| C2×#15693028 | 2 |
| #20268362 | 2 |
| #20268047 | 2 |
| #20268035 | 2 |
| #20268030 | 2 |
| #20268018 | 2 |
| #20267831 | 2 |
| #20267787 | 2 |
| C2×#15692944 | 2 |
| #537×C103 | 2 |
| #3063 | 103 |