Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268328 | C2 | semidirect |
| 2. #20268191 | C2 | semidirect |
| 3. #20268176 | C2 | semidirect |
| 4. #20268147 | C2 | semidirect |
| 5. #20268046 | C2 | semidirect |
| 7. #20268040 | C2 | semidirect |
| 8. #20267904 | C2 | semidirect |
| 9. #20267889 | C2 | semidirect |
| 10. #20267743 | C2 | semidirect |
| 11. #441×C103 | C2 | semidirect |
| 110. C103 | #3183 | semidirect |
| 119. #441 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268328 | 2 |
| #20268191 | 2 |
| #20268176 | 2 |
| #20268147 | 2 |
| #20268046 | 2 |
| #20268045 | 2 |
| #20268040 | 2 |
| #20267904 | 2 |
| #20267889 | 2 |
| #20267743 | 2 |
| #441×C103 | 2 |
| #3183 | 103 |