Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #20268415 | C2 | semidirect |
| 2. #20268175 | C2 | semidirect |
| 3. #20268153 | C2 | semidirect |
| 4. #20268050 | C2 | semidirect |
| 6. #20268021 | C2 | semidirect |
| 7. #20267902 | C2 | semidirect |
| 8. #20267897 | C2 | semidirect |
| 9. #20267878 | C2 | semidirect |
| 10. #20267745 | C2 | semidirect |
| 11. #498×C103 | C2 | semidirect |
| 110. C103 | #3173 | semidirect |
| 112. #498 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268415 | 2 |
| #20268175 | 2 |
| #20268153 | 2 |
| #20268050 | 2 |
| #20268045 | 2 |
| #20268021 | 2 |
| #20267902 | 2 |
| #20267897 | 2 |
| #20267878 | 2 |
| #20267745 | 2 |
| #498×C103 | 2 |
| #3173 | 103 |