Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
340 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #14271531 | C2 | semidirect |
| 3. #14271513 | C2 | semidirect |
| 4. #14271470 | C2 | semidirect |
| 5. #14271458 | C2 | semidirect |
| 8. #14271294 | C2 | semidirect |
| 11. C29×#557 | C2 | semidirect |
| 113. #557 | D29 | semidirect |
| 157. C29 | #3372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271873 | 2 |
| #14271531 | 2 |
| #14271513 | 2 |
| #14271470 | 2 |
| #14271458 | 2 |
| #14271365 | 2 |
| #14271294 | 2 |
| #14271261 | 2 |
| C4×#90784 | 2 |
| C29×#557 | 2 |
| #3372 | 29 |