Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #20268101 | C2 | semidirect |
| 4. #20268100 | C2 | semidirect |
| 5. #20268087 | C2 | semidirect |
| 6. #20268086 | C2 | semidirect |
| 7. #20268073 | C2 | semidirect |
| 11. #475×C103 | C2 | semidirect |
| 47. Q8×D103 | Q8 | semidirect |
| 131. C103 | #3078 | semidirect |
| 139. #475 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| C4×Q8×D103 | 2 |
| #20268101 | 2 |
| #20268100 | 2 |
| #20268087 | 2 |
| #20268086 | 2 |
| #20268073 | 2 |
| #20267830 | 2 |
| #20267813 | 2 |
| #20267798 | 2 |
| #475×C103 | 2 |
| #3078 | 103 |