Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
504 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 233 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. #20267690 | C2 | semidirect |
| 3. #20267657 | C2 | semidirect |
| 5. C4⋊C4×Dic103 | C2 | semidirect |
| 7. #20267637 | C2 | semidirect |
| 21. #117×C103 | C4 | semidirect |
| 95. C103 | #2346 | semidirect |
| 105. #117 | Dic103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20267690 | 2 |
| #20267684 | 2 |
| #20267657 | 2 |
| #20267651 | 2 |
| C4⋊C4×Dic103 | 2 |
| C4×C22⋊Dic103 | 2 |
| #20267637 | 2 |
| C2×#117×C103 | 2 |
| #2346 | 103 |