Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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×#15693027 | C2 | semidirect |
| 4. #20268367 | C2 | semidirect |
| 5. #20268048 | C2 | semidirect |
| 6. #20268036 | C2 | semidirect |
| 7. #20268031 | C2 | semidirect |
| 8. #20268019 | C2 | semidirect |
| 9. #20267834 | C2 | semidirect |
| 10. C2×#15692946 | C2 | semidirect |
| 11. #416×C103 | C2 | semidirect |
| 58. #13110089 | D4 | semidirect |
| 144. C103 | #3063 | semidirect |
| 154. #416 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693051 | 2 |
| C2×#15693027 | 2 |
| #20268369 | 2 |
| #20268367 | 2 |
| #20268048 | 2 |
| #20268036 | 2 |
| #20268031 | 2 |
| #20268019 | 2 |
| #20267834 | 2 |
| C2×#15692946 | 2 |
| #416×C103 | 2 |
| #3063 | 103 |