Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 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. #14271121 | C2 | semidirect |
| 4. C2×#11745151 | C2 | semidirect |
| 5. #14270927 | C2 | semidirect |
| 6. #14270923 | C2 | semidirect |
| 12. #11745310 | C4 | semidirect |
| 19. C29×#104 | C4 | semidirect |
| 20. #11745183 | C4 | semidirect |
| 21. #11745180 | C4 | semidirect |
| 117. #104 | Dic29 | semidirect |
| 123. C29 | #1765 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745310 | 2 |
| #14271159 | 2 |
| #14271121 | 2 |
| C2×#11745151 | 2 |
| #14270927 | 2 |
| #14270923 | 2 |
| C2×C29×#104 | 2 |
| #1765 | 29 |