Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#15693012 | C2 | semidirect |
| 3. #20268100 | C2 | semidirect |
| 4. #20268096 | C2 | semidirect |
| 5. #20268093 | C2 | semidirect |
| 6. #20268089 | C2 | semidirect |
| 7. #20267833 | C2 | semidirect |
| 8. #20267831 | C2 | semidirect |
| 9. #20267814 | C2 | semidirect |
| 136. C103 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693012 | 2 |
| #41×Dic103 | 2 |
| #20268100 | 2 |
| #20268096 | 2 |
| #20268093 | 2 |
| #20268089 | 2 |
| #20267833 | 2 |
| #20267831 | 2 |
| #20267814 | 2 |
| #20267792 | 2 |
| #417×C103 | 2 |
| #3080 | 103 |