Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20267909 | C2 | semidirect |
| 3. #20267620 | C2 | semidirect |
| 4. #20267598 | C2 | semidirect |
| 5. #20267597 | C2 | semidirect |
| 6. C4×C103⋊C16 | C2 | semidirect |
| 7. #443×C103 | C2 | semidirect |
| 10. #15692967 | C4 | semidirect |
| 11. #15692965 | C4 | semidirect |
| 12. #15692964 | C4 | semidirect |
| 13. #15692962 | C4 | semidirect |
| 72. C103 | #2178 | semidirect |
| 75. #443 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268221 | 2 |
| #20267909 | 2 |
| #20267620 | 2 |
| #20267598 | 2 |
| #20267597 | 2 |
| C4×C103⋊C16 | 2 |
| #443×C103 | 2 |
| #2178 | 103 |