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×#15693052 | C2 | semidirect |
| 3. #20268271 | C2 | semidirect |
| 4. #20268010 | C2 | semidirect |
| 5. #20268003 | C2 | semidirect |
| 6. #20267998 | C2 | semidirect |
| 7. #20267993 | C2 | semidirect |
| 8. #20267818 | C2 | semidirect |
| 9. #20267792 | C2 | semidirect |
| 10. C2×#15692945 | C2 | semidirect |
| 11. #536×C103 | C2 | semidirect |
| 147. C103 | #3046 | semidirect |
| 150. #536 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693052 | 2 |
| C2×#15693041 | 2 |
| #20268271 | 2 |
| #20268010 | 2 |
| #20268003 | 2 |
| #20267998 | 2 |
| #20267993 | 2 |
| #20267818 | 2 |
| #20267792 | 2 |
| C2×#15692945 | 2 |
| #536×C103 | 2 |
| #3046 | 103 |