Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
334 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 334 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 |
|---|---|---|
| 3. #20267801 | C2 | semidirect |
| 4. #20267697 | C2 | semidirect |
| 5. #20267559 | C2 | semidirect |
| 6. #20267551 | C2 | semidirect |
| 10. #15693051 | C4 | semidirect |
| 33. C2×Dic206 | C2×C4 | semidirect |
| 40. #13110089 | C2×C4 | semidirect |
| 125. C103 | #1882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693051 | 2 |
| #20268274 | 2 |
| #20267801 | 2 |
| #20267697 | 2 |
| #20267559 | 2 |
| #20267551 | 2 |
| C2×#104×C103 | 2 |
| #1882 | 103 |