Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20268135 | C2 | semidirect |
| 4. #20268083 | C2 | semidirect |
| 5. #20268002 | C2 | semidirect |
| 6. #20267996 | C2 | semidirect |
| 8. #20267897 | C2 | semidirect |
| 9. #20267888 | C2 | semidirect |
| 10. #20267847 | C2 | semidirect |
| 11. #476×C103 | C2 | semidirect |
| 137. C103 | #3116 | semidirect |
| 142. #476 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| C4×#13110104 | 2 |
| #20268135 | 2 |
| #20268083 | 2 |
| #20268002 | 2 |
| #20267996 | 2 |
| #20267954 | 2 |
| #20267897 | 2 |
| #20267888 | 2 |
| #20267847 | 2 |
| #476×C103 | 2 |
| #3116 | 103 |