Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
364 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 119 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. #20268346 | C2 | semidirect |
| 3. #20268200 | C2 | semidirect |
| 4. #20268159 | C2 | semidirect |
| 5. #20268150 | C2 | semidirect |
| 6. #20268046 | C2 | semidirect |
| 8. Q16×Dic103 | C2 | semidirect |
| 9. SD16×Dic103 | C2 | semidirect |
| 10. #20267743 | C2 | semidirect |
| 11. #497×C103 | C2 | semidirect |
| 130. C103 | #3172 | semidirect |
| 134. #497 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| #20268320 | 2 |
| #20268200 | 2 |
| #20268159 | 2 |
| #20268150 | 2 |
| #20268046 | 2 |
| #20268034 | 2 |
| Q16×Dic103 | 2 |
| SD16×Dic103 | 2 |
| #20267743 | 2 |
| #497×C103 | 2 |
| #3172 | 103 |