Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
362 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #14271892 | C2 | semidirect |
| 2. #14271558 | C2 | semidirect |
| 4. #14271382 | C2 | semidirect |
| 5. #14271373 | C2 | semidirect |
| 6. #14271368 | C2 | semidirect |
| 8. #14271294 | C2 | semidirect |
| 9. #14271263 | C2 | semidirect |
| 10. C4×#90785 | 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 |
|---|---|
| #14271892 | 2 |
| #14271558 | 2 |
| #14271535 | 2 |
| #14271382 | 2 |
| #14271373 | 2 |
| #14271368 | 2 |
| #14271360 | 2 |
| #14271294 | 2 |
| #14271263 | 2 |
| C4×#90785 | 2 |
| C29×#559 | 2 |
| #3400 | 29 |