Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
348 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 348 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 |
|---|---|---|
| 2. #20268516 | C2 | semidirect |
| 3. #20268144 | C2 | semidirect |
| 4. #20268089 | C2 | semidirect |
| 5. #20268073 | C2 | semidirect |
| 6. #20268012 | C2 | semidirect |
| 8. C8×Dic206 | C2 | semidirect |
| 9. C4×Dic412 | C2 | semidirect |
| 10. #20267882 | C2 | semidirect |
| 118. C103 | #3365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268527 | 2 |
| #20268516 | 2 |
| #20268144 | 2 |
| #20268089 | 2 |
| #20268073 | 2 |
| #20268012 | 2 |
| #20267988 | 2 |
| C8×Dic206 | 2 |
| C4×Dic412 | 2 |
| #20267882 | 2 |
| #486×C103 | 2 |
| #3365 | 103 |