Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
342 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 3. #14271507 | C2 | semidirect |
| 4. #14271495 | C2 | semidirect |
| 5. #14271455 | C2 | semidirect |
| 6. #14271445 | C2 | semidirect |
| 7. #14271422 | C2 | semidirect |
| 8. C4×Dic116 | C2 | semidirect |
| 10. #14271202 | C2 | semidirect |
| 11. C29×#498 | C2 | semidirect |
| 115. #498 | 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 |
|---|---|
| #14271887 | 2 |
| #14271874 | 2 |
| #14271507 | 2 |
| #14271495 | 2 |
| #14271455 | 2 |
| #14271445 | 2 |
| #14271422 | 2 |
| C4×Dic116 | 2 |
| #14271242 | 2 |
| #14271202 | 2 |
| C29×#498 | 2 |
| #3356 | 29 |