Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #20268403 | C2 | semidirect |
| 3. #20268193 | C2 | semidirect |
| 4. #20268164 | C2 | semidirect |
| 5. #20268160 | C2 | semidirect |
| 6. #20268156 | C2 | semidirect |
| 7. #20268037 | C2 | semidirect |
| 8. #20268020 | C2 | semidirect |
| 9. #20267893 | C2 | semidirect |
| 10. C4×#13110094 | C2 | semidirect |
| 11. #405×C103 | C2 | semidirect |
| 109. C103 | #3174 | semidirect |
| 120. #405 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268403 | 2 |
| #20268396 | 2 |
| #20268193 | 2 |
| #20268164 | 2 |
| #20268160 | 2 |
| #20268156 | 2 |
| #20268037 | 2 |
| #20268020 | 2 |
| #20267893 | 2 |
| C4×#13110094 | 2 |
| #405×C103 | 2 |
| #3174 | 103 |