Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 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. #20268397 | C2 | semidirect |
| 2. #20268168 | C2 | semidirect |
| 3. #20268157 | C2 | semidirect |
| 4. #20268045 | C2 | semidirect |
| 5. #20268028 | C2 | semidirect |
| 6. #20267902 | C2 | semidirect |
| 7. #20267873 | C2 | semidirect |
| 8. #20267745 | C2 | semidirect |
| 9. #499×C103 | C2 | semidirect |
| 85. C103 | #3176 | semidirect |
| 87. #499 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268397 | 2 |
| #20268168 | 2 |
| #20268157 | 2 |
| #20268045 | 2 |
| #20268028 | 2 |
| #20267902 | 2 |
| #20267873 | 2 |
| #20267745 | 2 |
| #499×C103 | 2 |
| #3176 | 103 |