Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
548 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20267809 | C2 | semidirect |
| 3. #20267808 | C2 | semidirect |
| 4. #20267788 | C2 | semidirect |
| 5. #20267764 | C2 | semidirect |
| 6. #20267757 | C2 | semidirect |
| 7. #416×C103 | C2 | semidirect |
| 10. #15693068 | C4 | semidirect |
| 12. #15693067 | C4 | semidirect |
| 20. C2×#13110089 | C22 | semidirect |
| 21. #15692980 | C22 | semidirect |
| 29. C22×C8×C103 | C22 | semidirect |
| 30. #117×C103 | C22 | semidirect |
| 167. C103 | #1794 | semidirect |
| 172. #416 | D103 | semidirect |
| 189. C22×C8 | C2×D103 | semidirect |
| 191. #117 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268627 | 2 |
| #20267809 | 2 |
| #20267808 | 2 |
| #20267788 | 2 |
| #20267764 | 2 |
| #20267757 | 2 |
| #416×C103 | 2 |
| #1794 | 103 |