Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 129 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. #20268341 | C2 | semidirect |
| 2. #20268325 | C2 | semidirect |
| 3. #20268200 | C2 | semidirect |
| 4. #20268180 | C2 | semidirect |
| 5. #20268156 | C2 | semidirect |
| 6. #20268151 | C2 | semidirect |
| 7. #20268044 | C2 | semidirect |
| 8. #20268037 | C2 | semidirect |
| 9. C4×#13110094 | C2 | semidirect |
| 10. C4×D824 | C2 | semidirect |
| 11. C4×M16×C103 | C2 | semidirect |
| 110. C8×C103 | #41 | semidirect |
| 138. C103 | #3171 | semidirect |
| 149. C4×M16 | D103 | semidirect |
| 248. C8 | #13110105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268341 | 2 |
| #20268325 | 2 |
| #20268200 | 2 |
| #20268180 | 2 |
| #20268156 | 2 |
| #20268151 | 2 |
| #20268044 | 2 |
| #20268037 | 2 |
| C4×#13110094 | 2 |
| C4×D824 | 2 |
| C4×M16×C103 | 2 |
| #3171 | 103 |