Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
380 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 1. #20268589 | C2 | semidirect |
| 2. C2×#15693047 | C2 | semidirect |
| 3. #20267808 | C2 | semidirect |
| 4. #20267796 | C2 | semidirect |
| 5. #20267764 | C2 | semidirect |
| 6. #20267561 | C2 | semidirect |
| 7. #535×C103 | C2 | semidirect |
| 35. C2×Dic206 | D4 | semidirect |
| 36. C2×D412 | D4 | semidirect |
| 48. #13110089 | D4 | semidirect |
| 50. C2×C103⋊C8 | D4 | semidirect |
| 143. C103 | #2008 | semidirect |
| 146. #535 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268589 | 2 |
| C2×#15693047 | 2 |
| #20267808 | 2 |
| #20267796 | 2 |
| #20267764 | 2 |
| #20267561 | 2 |
| #535×C103 | 2 |
| #2008 | 103 |