Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
368 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 69 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. C2×#15692936 | C2 | semidirect |
| 3. #20267583 | C2 | direct (N × H) |
| 4. C2×#99×C103 | C2 | semidirect |
| 5. C22×D412 | C4 | semidirect |
| 10. #15693017 | C4 | semidirect |
| 13. C2×C4×Dic103 | C4 | semidirect |
| 15. #15692936 | C22 | semidirect |
| 19. #99×C103 | C22 | semidirect |
| 24. C2×D412 | C2×C4 | semidirect |
| 36. C4×Dic103 | C2×C4 | semidirect |
| 117. C2×C103 | #353 | semidirect |
| 121. C103 | C2×#353 | semidirect |
| 124. C2×#99 | D103 | semidirect |
| 140. #99 | C2×D103 | semidirect |
| 239. C2 | #20267583 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693017 | 2 |
| C2×#15692936 | 2 |
| #20267583 | 2 |
| C2×#99×C103 | 2 |
| C2×#353 | 103 |