Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
688 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 688 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. #20267691 | C2 | semidirect |
| 3. #20267685 | C2 | semidirect |
| 4. #20267679 | C2 | semidirect |
| 5. #20267667 | C2 | semidirect |
| 6. #20267647 | C2 | semidirect |
| 7. #379×C103 | C2 | semidirect |
| 9. C22×C4×D103 | C22 | semidirect |
| 10. #15692990 | C4 | semidirect |
| 11. C2×Dic103⋊C4 | C22 | semidirect |
| 15. C2×(C2×D103)⋊C4 | C22 | semidirect |
| 16. C2×C4×Dic103 | C22 | semidirect |
| 17. C103⋊#95 | C22 | semidirect |
| 18. C103⋊#95 | C22 | semidirect |
| 33. C22⋊Dic103 | C2×C4 | semidirect |
| 38. C24×C103 | C2×C4 | semidirect |
| 96. C103 | #2375 | semidirect |
| 103. #379 | D103 | semidirect |
| 121. C24 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692990 | 2 |
| #20267691 | 2 |
| #20267685 | 2 |
| #20267679 | 2 |
| #20267667 | 2 |
| #20267647 | 2 |
| #379×C103 | 2 |
| #2375 | 103 |