Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
500 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×Dic412 | C2 | semidirect |
| 4. C2×#15692986 | C2 | semidirect |
| 5. #20268012 | C2 | direct (N × H) |
| 6. C2×Dic103⋊C8 | C2 | semidirect |
| 7. C2×#15692944 | C2 | semidirect |
| 12. C2×Dic412 | C22 | semidirect |
| 19. #15692986 | C22 | semidirect |
| 25. Dic103⋊C8 | C22 | semidirect |
| 26. #15692944 | C22 | semidirect |
| 111. C2×C103 | #464 | semidirect |
| 116. C103 | C2×#464 | semidirect |
| 227. C2 | #20268012 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic412 | 2 |
| C22×#13110093 | 2 |
| C2×#15693008 | 2 |
| C2×#15692986 | 2 |
| #20268012 | 2 |
| C2×Dic103⋊C8 | 2 |
| C2×#15692944 | 2 |
| C2×#102×C103 | 2 |
| C2×#464 | 103 |