Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
392 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268347 | C2 | semidirect |
| 3. #20268161 | C2 | semidirect |
| 4. #20268160 | C2 | semidirect |
| 5. #20268155 | C2 | semidirect |
| 6. #20268149 | C2 | semidirect |
| 7. #20267784 | C2 | semidirect |
| 8. #97×D103 | C2 | semidirect |
| 9. #490×C103 | C2 | semidirect |
| 91. C103 | #3135 | semidirect |
| 97. #490 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268347 | 2 |
| #20268339 | 2 |
| #20268161 | 2 |
| #20268160 | 2 |
| #20268155 | 2 |
| #20268149 | 2 |
| #20267784 | 2 |
| #97×D103 | 2 |
| #490×C103 | 2 |
| #3135 | 103 |