Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268171 | C2 | semidirect |
| 4. #20268160 | C2 | semidirect |
| 7. #20267899 | C2 | semidirect |
| 8. C4×Dic412 | C2 | semidirect |
| 79. C103 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268403 | 2 |
| #20268193 | 2 |
| #20268171 | 2 |
| #20268160 | 2 |
| #20268049 | 2 |
| #20268032 | 2 |
| #20267899 | 2 |
| C4×Dic412 | 2 |
| #405×C103 | 2 |
| #3177 | 103 |