Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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. #20268348 | C2 | semidirect |
| 3. #20268133 | C2 | semidirect |
| 4. #20268087 | C2 | semidirect |
| 5. #20268082 | C2 | semidirect |
| 6. #20268002 | C2 | semidirect |
| 7. #20267997 | C2 | semidirect |
| 9. #20267899 | C2 | semidirect |
| 10. #20267893 | C2 | semidirect |
| 11. #432×C103 | C2 | semidirect |
| 137. C103 | #3116 | semidirect |
| 148. #432 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268348 | 2 |
| C4×#13110105 | 2 |
| #20268133 | 2 |
| #20268087 | 2 |
| #20268082 | 2 |
| #20268002 | 2 |
| #20267997 | 2 |
| #20267955 | 2 |
| #20267899 | 2 |
| #20267893 | 2 |
| #432×C103 | 2 |
| #3116 | 103 |