Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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. #14271888 | C2 | semidirect |
| 3. #14271554 | C2 | semidirect |
| 4. #14271383 | C2 | semidirect |
| 5. #14271370 | C2 | semidirect |
| 6. #14271366 | C2 | semidirect |
| 8. #14271293 | C2 | semidirect |
| 9. #14271264 | C2 | semidirect |
| 10. C4×Dic116 | C2 | semidirect |
| 162. C29 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271899 | 2 |
| #14271888 | 2 |
| #14271554 | 2 |
| #14271383 | 2 |
| #14271370 | 2 |
| #14271366 | 2 |
| #14271360 | 2 |
| #14271293 | 2 |
| #14271264 | 2 |
| C4×Dic116 | 2 |
| C29×#492 | 2 |
| #3400 | 29 |