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. #14271559 | C2 | semidirect |
| 4. #14271506 | C2 | semidirect |
| 5. #14271492 | C2 | semidirect |
| 6. #14271449 | C2 | semidirect |
| 7. #14271420 | C2 | semidirect |
| 8. C4×#90785 | C2 | semidirect |
| 10. #14271204 | C2 | semidirect |
| 11. C29×#477 | C2 | semidirect |
| 118. #477 | D29 | semidirect |
| 157. C29 | #3356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271886 | 2 |
| #14271874 | 2 |
| #14271559 | 2 |
| #14271506 | 2 |
| #14271492 | 2 |
| #14271449 | 2 |
| #14271420 | 2 |
| C4×#90785 | 2 |
| #14271240 | 2 |
| #14271204 | 2 |
| C29×#477 | 2 |
| #3356 | 29 |