Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 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. #20268348 | C2 | semidirect |
| 3. #20268200 | C2 | semidirect |
| 4. #20268185 | C2 | semidirect |
| 5. #20268160 | C2 | semidirect |
| 6. #20268151 | C2 | semidirect |
| 7. #20268049 | C2 | semidirect |
| 9. C4×Dic412 | C2 | semidirect |
| 10. C4×#13110094 | C2 | semidirect |
| 11. C4×M16×C103 | C2 | semidirect |
| 130. C103 | #3172 | semidirect |
| 141. C4×M16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268348 | 2 |
| #20268325 | 2 |
| #20268200 | 2 |
| #20268185 | 2 |
| #20268160 | 2 |
| #20268151 | 2 |
| #20268049 | 2 |
| #20268037 | 2 |
| C4×Dic412 | 2 |
| C4×#13110094 | 2 |
| C4×M16×C103 | 2 |
| #3172 | 103 |