Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20268190 | C2 | semidirect |
| 3. #20268165 | C2 | semidirect |
| 4. #20268159 | C2 | semidirect |
| 5. #20268157 | C2 | semidirect |
| 6. #20268039 | C2 | semidirect |
| 7. #20268022 | C2 | semidirect |
| 8. #20267889 | C2 | semidirect |
| 9. C4×#13110092 | C2 | semidirect |
| 10. #20267747 | C2 | semidirect |
| 11. #541×C103 | C2 | semidirect |
| 109. C103 | #3174 | semidirect |
| 110. #541 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268396 | 2 |
| #20268190 | 2 |
| #20268165 | 2 |
| #20268159 | 2 |
| #20268157 | 2 |
| #20268039 | 2 |
| #20268022 | 2 |
| #20267889 | 2 |
| C4×#13110092 | 2 |
| #20267747 | 2 |
| #541×C103 | 2 |
| #3174 | 103 |