Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #20268422 | C2 | semidirect |
| 3. #20268100 | C2 | semidirect |
| 4. #20268089 | C2 | semidirect |
| 5. #20268079 | C2 | semidirect |
| 6. #20268074 | C2 | semidirect |
| 7. #20267833 | C2 | semidirect |
| 8. C2×#15692952 | C2 | semidirect |
| 9. #20267819 | C2 | semidirect |
| 64. #41×C103 | Q8 | semidirect |
| 124. C103 | #3084 | semidirect |
| 166. #41 | Dic206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268422 | 2 |
| #20268274 | 2 |
| #20268100 | 2 |
| #20268089 | 2 |
| #20268079 | 2 |
| #20268074 | 2 |
| #20267833 | 2 |
| C2×#15692952 | 2 |
| #20267819 | 2 |
| #20267787 | 2 |
| #417×C103 | 2 |
| #3084 | 103 |