Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20268402 | C2 | semidirect |
| 3. #20268190 | C2 | semidirect |
| 4. #20268165 | C2 | semidirect |
| 5. #20268156 | C2 | semidirect |
| 6. #20268040 | C2 | semidirect |
| 7. #20268023 | C2 | semidirect |
| 8. #20267894 | C2 | semidirect |
| 9. #20267876 | C2 | semidirect |
| 10. #20267748 | C2 | semidirect |
| 11. #491×C103 | C2 | semidirect |
| 109. C103 | #3174 | semidirect |
| 114. #491 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268402 | 2 |
| #20268397 | 2 |
| #20268190 | 2 |
| #20268165 | 2 |
| #20268156 | 2 |
| #20268040 | 2 |
| #20268023 | 2 |
| #20267894 | 2 |
| #20267876 | 2 |
| #20267748 | 2 |
| #491×C103 | 2 |
| #3174 | 103 |