Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14271533 | C2 | semidirect |
| 3. #14271525 | C2 | semidirect |
| 4. #14271520 | C2 | semidirect |
| 5. #14271515 | C2 | semidirect |
| 6. #14271171 | C2 | semidirect |
| 9. C2×#11745158 | C2 | semidirect |
| 10. #14271119 | C2 | semidirect |
| 11. C29×#544 | C2 | semidirect |
| 123. #544 | D29 | semidirect |
| 168. C29 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271739 | 2 |
| #14271533 | 2 |
| #14271525 | 2 |
| #14271520 | 2 |
| #14271515 | 2 |
| #14271171 | 2 |
| #14271162 | 2 |
| #14271157 | 2 |
| C2×#11745158 | 2 |
| #14271119 | 2 |
| C29×#544 | 2 |
| #3137 | 29 |