Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 2. C2×#15693051 | C2 | semidirect |
| 4. C22×#13110095 | C2 | semidirect |
| 5. #20268367 | C2 | semidirect |
| 6. #20268186 | C2 | semidirect |
| 7. #20268183 | C2 | semidirect |
| 8. #20268173 | C2 | semidirect |
| 9. #20268170 | C2 | semidirect |
| 10. #20267747 | C2 | semidirect |
| 11. #536×C103 | C2 | semidirect |
| 144. C103 | #3156 | 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×#15693051 | 2 |
| C2×#15693041 | 2 |
| C22×#13110095 | 2 |
| #20268367 | 2 |
| #20268186 | 2 |
| #20268183 | 2 |
| #20268173 | 2 |
| #20268170 | 2 |
| #20267747 | 2 |
| #536×C103 | 2 |
| #3156 | 103 |