Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268394 | C2 | semidirect |
| 2. #20268192 | C2 | semidirect |
| 3. #20268166 | C2 | semidirect |
| 4. #20268154 | C2 | semidirect |
| 5. #20268042 | C2 | semidirect |
| 6. #20268027 | C2 | semidirect |
| 7. #20267900 | C2 | semidirect |
| 8. D8×Dic103 | C2 | semidirect |
| 9. #20267873 | C2 | semidirect |
| 10. #20267746 | C2 | semidirect |
| 11. #466×C103 | C2 | semidirect |
| 124. C103 | #3176 | semidirect |
| 131. #466 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268394 | 2 |
| #20268192 | 2 |
| #20268166 | 2 |
| #20268154 | 2 |
| #20268042 | 2 |
| #20268027 | 2 |
| #20267900 | 2 |
| D8×Dic103 | 2 |
| #20267873 | 2 |
| #20267746 | 2 |
| #466×C103 | 2 |
| #3176 | 103 |