Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 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. #20268516 | C2 | semidirect |
| 4. #20268143 | C2 | semidirect |
| 5. #20268097 | C2 | semidirect |
| 7. #20268002 | C2 | semidirect |
| 8. #20267915 | C2 | semidirect |
| 9. #20267885 | C2 | semidirect |
| 116. C103 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268516 | 2 |
| #20268511 | 2 |
| #20268144 | 2 |
| #20268143 | 2 |
| #20268097 | 2 |
| #20268012 | 2 |
| #20268002 | 2 |
| #20267915 | 2 |
| #20267885 | 2 |
| C4×#13110093 | 2 |
| #474×C103 | 2 |
| #3364 | 103 |