Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #20268171 | C2 | semidirect |
| 3. #20268161 | C2 | semidirect |
| 6. #20267897 | C2 | semidirect |
| 7. #20267885 | C2 | semidirect |
| 9. #499×C103 | C2 | semidirect |
| 79. C103 | #3177 | semidirect |
| 81. #499 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268404 | 2 |
| #20268171 | 2 |
| #20268161 | 2 |
| #20268050 | 2 |
| #20268033 | 2 |
| #20267897 | 2 |
| #20267885 | 2 |
| #20267745 | 2 |
| #499×C103 | 2 |
| #3177 | 103 |