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. #14271119 | C2 | semidirect |
| 4. C2×#11745163 | C2 | semidirect |
| 5. #14270928 | C2 | semidirect |
| 6. #14270922 | C2 | semidirect |
| 12. #11745310 | C4 | semidirect |
| 19. C29×#103 | C4 | semidirect |
| 20. C29×#102 | C4 | semidirect |
| 21. #11745185 | C4 | semidirect |
| 118. #103 | Dic29 | semidirect |
| 119. #102 | 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 |
| C2×#11745185 | 2 |
| #14271119 | 2 |
| C2×#11745163 | 2 |
| #14270928 | 2 |
| #14270922 | 2 |
| C29×#416 | 2 |
| #1765 | 29 |