Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
600 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 3. #20267687 | C2 | semidirect |
| 5. #20267660 | C2 | semidirect |
| 6. #20267656 | C2 | semidirect |
| 9. #15692980 | C4 | semidirect |
| 29. C4⋊Dic103 | C2×C4 | semidirect |
| 34. C4×Dic103 | C2×C4 | semidirect |
| 55. C2×C4×C103 | C4⋊C4 | semidirect |
| 92. C103 | #2317 | semidirect |
| 154. C2×C4 | Dic103⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692980 | 2 |
| #20267687 | 2 |
| #20267664 | 2 |
| #20267660 | 2 |
| #20267656 | 2 |
| C22×C4⋊C4×C103 | 2 |
| #2317 | 103 |