Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
500 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20268259 | C2 | semidirect |
| 3. #20267885 | C2 | semidirect |
| 4. #20267878 | C2 | semidirect |
| 5. #20267873 | C2 | semidirect |
| 6. #20267785 | C2 | semidirect |
| 7. C2×C8×Dic103 | C2 | semidirect |
| 8. #427×C103 | C2 | semidirect |
| 10. #15693043 | C4 | semidirect |
| 30. #13110105 | C2×C4 | semidirect |
| 37. Dic412 | C2×C4 | semidirect |
| 38. #13110094 | C2×C4 | semidirect |
| 39. D824 | C2×C4 | semidirect |
| 49. C2×C8×C103 | C2×C4 | semidirect |
| 87. Dic103 | #135 | semidirect |
| 93. C103 | C4×#135 | semidirect |
| 99. #427 | D103 | semidirect |
| 136. C2×C8 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| #20268259 | 2 |
| #20267885 | 2 |
| #20267878 | 2 |
| #20267873 | 2 |
| #20267785 | 2 |
| C2×C8×Dic103 | 2 |
| #427×C103 | 2 |
| C4×#135 | 103 |