Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 3. #14271447 | C2 | semidirect |
| 4. #14271445 | C2 | semidirect |
| 7. #14271374 | C2 | semidirect |
| 8. #14271373 | C2 | semidirect |
| 9. #14271372 | C2 | semidirect |
| 11. C29×#475 | C2 | semidirect |
| 130. #475 | D29 | semidirect |
| 172. C29 | #3255 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271718 | 2 |
| #14271717 | 2 |
| #14271447 | 2 |
| #14271445 | 2 |
| #14271422 | 2 |
| #14271420 | 2 |
| #14271374 | 2 |
| #14271373 | 2 |
| #14271372 | 2 |
| #14271185 | 2 |
| C29×#475 | 2 |
| #3255 | 29 |