Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#15693000 | C2 | semidirect |
| 2. #20268126 | C2 | semidirect |
| 3. #20268102 | C2 | semidirect |
| 4. #20268035 | C2 | semidirect |
| 5. #20267942 | C2 | semidirect |
| 6. #20267929 | C2 | semidirect |
| 7. #20267755 | C2 | semidirect |
| 9. C22×Dic206 | C22 | semidirect |
| 10. C2×#13110093 | C22 | semidirect |
| 11. C2×#13110089 | C22 | semidirect |
| 15. #15693000 | C22 | semidirect |
| 16. C2×C4⋊Dic103 | C22 | semidirect |
| 19. #15692954 | C22 | semidirect |
| 20. #15692944 | C22 | semidirect |
| 21. #15692942 | C22 | semidirect |
| 23. C22⋊(C103⋊C8) | C22 | semidirect |
| 130. C103 | #3193 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693000 | 2 |
| #20268126 | 2 |
| #20268102 | 2 |
| #20268035 | 2 |
| #20267942 | 2 |
| #20267929 | 2 |
| #20267755 | 2 |
| C2×#121×C103 | 2 |
| #3193 | 103 |