Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
346 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20267809 | C2 | semidirect |
| 3. #20267796 | C2 | semidirect |
| 4. #20267764 | C2 | semidirect |
| 5. #20267561 | C2 | semidirect |
| 6. #20267547 | C2 | semidirect |
| 7. #518×C103 | C2 | semidirect |
| 11. C2×#13110093 | C4 | semidirect |
| 12. C2×#13110090 | C4 | semidirect |
| 29. C2×Dic206 | C2×C4 | semidirect |
| 30. C2×D412 | C2×C4 | semidirect |
| 40. C2×C103⋊C8 | C2×C4 | semidirect |
| 116. C103 | #1904 | semidirect |
| 118. #518 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693047 | 2 |
| #20267809 | 2 |
| #20267796 | 2 |
| #20267764 | 2 |
| #20267561 | 2 |
| #20267547 | 2 |
| #518×C103 | 2 |
| #1904 | 103 |