Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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×#15693051 | C2 | semidirect |
| 3. C22×Dic412 | C2 | semidirect |
| 4. #20268367 | C2 | semidirect |
| 5. #20267954 | C2 | semidirect |
| 6. #20267948 | C2 | semidirect |
| 7. #20267799 | C2 | semidirect |
| 8. #20267757 | C2 | semidirect |
| 9. #416×C103 | C2 | semidirect |
| 141. C103 | #3011 | semidirect |
| 149. #416 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693068 | 2 |
| C2×#15693051 | 2 |
| C22×Dic412 | 2 |
| #20268367 | 2 |
| #20267954 | 2 |
| #20267948 | 2 |
| #20267799 | 2 |
| #20267757 | 2 |
| #416×C103 | 2 |
| #3011 | 103 |