Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
388 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 1. #20268346 | C2 | semidirect |
| 3. #20268100 | C2 | semidirect |
| 4. #20268094 | C2 | semidirect |
| 5. #20268078 | C2 | semidirect |
| 6. #20268076 | C2 | semidirect |
| 7. #20268072 | C2 | semidirect |
| 8. #20267828 | C2 | semidirect |
| 9. C4⋊C8×D103 | C2 | semidirect |
| 11. #477×C103 | C2 | semidirect |
| 44. #13110106 | Q8 | semidirect |
| 135. C103 | #3076 | semidirect |
| 140. #477 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| C4×#13110106 | 2 |
| #20268100 | 2 |
| #20268094 | 2 |
| #20268078 | 2 |
| #20268076 | 2 |
| #20268072 | 2 |
| #20267828 | 2 |
| C4⋊C8×D103 | 2 |
| #20267786 | 2 |
| #477×C103 | 2 |
| #3076 | 103 |