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. #20268130 | C2 | semidirect |
| 4. #20268086 | C2 | semidirect |
| 5. #20268082 | C2 | semidirect |
| 6. #20267993 | C2 | semidirect |
| 8. #20267898 | C2 | semidirect |
| 9. #20267894 | C2 | semidirect |
| 10. #20267847 | C2 | semidirect |
| 11. #462×C103 | C2 | semidirect |
| 137. C103 | #3116 | semidirect |
| 143. #462 | 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 |
| #20268130 | 2 |
| #20268086 | 2 |
| #20268082 | 2 |
| #20267993 | 2 |
| #20267952 | 2 |
| #20267898 | 2 |
| #20267894 | 2 |
| #20267847 | 2 |
| #462×C103 | 2 |
| #3116 | 103 |