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. #20268193 | C2 | semidirect |
| 3. #20268159 | C2 | semidirect |
| 6. #20267898 | C2 | semidirect |
| 7. Q16×Dic103 | C2 | semidirect |
| 9. #494×C103 | C2 | semidirect |
| 79. C103 | #3177 | semidirect |
| 82. #494 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268402 | 2 |
| #20268193 | 2 |
| #20268159 | 2 |
| #20268046 | 2 |
| #20268029 | 2 |
| #20267898 | 2 |
| Q16×Dic103 | 2 |
| #20267745 | 2 |
| #494×C103 | 2 |
| #3177 | 103 |