Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
392 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20268521 | C2 | semidirect |
| 3. #20268139 | C2 | semidirect |
| 4. #20268136 | C2 | semidirect |
| 5. #20268080 | C2 | semidirect |
| 6. #20267992 | C2 | semidirect |
| 7. #20267990 | C2 | semidirect |
| 8. #20267915 | C2 | semidirect |
| 9. #20267878 | C2 | semidirect |
| 10. C4×#13110093 | C2 | semidirect |
| 11. #476×C103 | C2 | semidirect |
| 98. Dic206 | SD16 | semidirect |
| 99. Dic206 | #41 | semidirect |
| 126. C103 | #3362 | semidirect |
| 132. #476 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268521 | 2 |
| #20268462 | 2 |
| #20268139 | 2 |
| #20268136 | 2 |
| #20268080 | 2 |
| #20267992 | 2 |
| #20267990 | 2 |
| #20267915 | 2 |
| #20267878 | 2 |
| C4×#13110093 | 2 |
| #476×C103 | 2 |
| #3362 | 103 |