Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268502 | C2 | semidirect |
| 2. #20268462 | C2 | semidirect |
| 3. #20268154 | C2 | semidirect |
| 4. #20268139 | C2 | semidirect |
| 5. #20268090 | C2 | semidirect |
| 6. #20267987 | C2 | semidirect |
| 7. #20267985 | C2 | semidirect |
| 8. #20267918 | C2 | semidirect |
| 9. #20267902 | C2 | semidirect |
| 10. C4×#13110090 | C2 | semidirect |
| 11. #476×C103 | C2 | semidirect |
| 96. D412 | #41 | semidirect |
| 130. C103 | #3366 | semidirect |
| 136. #476 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268502 | 2 |
| #20268462 | 2 |
| #20268154 | 2 |
| #20268139 | 2 |
| #20268090 | 2 |
| #20267987 | 2 |
| #20267985 | 2 |
| #20267918 | 2 |
| #20267902 | 2 |
| C4×#13110090 | 2 |
| #476×C103 | 2 |
| #3366 | 103 |