Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
446 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 145 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×#15693054 | C2 | semidirect |
| 3. C2×#15693051 | C2 | semidirect |
| 4. #20268066 | C2 | semidirect |
| 5. #20268054 | C2 | semidirect |
| 6. #20267840 | C2 | semidirect |
| 7. #20267773 | C2 | semidirect |
| 8. C2×#15692939 | C2 | semidirect |
| 9. #568×C103 | C2 | semidirect |
| 21. C2×Dic412 | C22 | semidirect |
| 23. C2×#13110094 | C22 | semidirect |
| 27. #15692957 | C22 | semidirect |
| 28. #15692939 | C22 | semidirect |
| 29. #15692939 | C22 | semidirect |
| 30. #15692937 | C22 | semidirect |
| 143. C103 | #3069 | semidirect |
| 147. #568 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268589 | 2 |
| C2×#15693054 | 2 |
| C2×#15693051 | 2 |
| #20268066 | 2 |
| #20268054 | 2 |
| #20267840 | 2 |
| #20267773 | 2 |
| C2×#15692939 | 2 |
| #568×C103 | 2 |
| #3069 | 103 |