Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
270 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#11745167 | C2 | semidirect |
| 3. #14271190 | C2 | semidirect |
| 5. #14270922 | C2 | semidirect |
| 6. #14270917 | C2 | semidirect |
| 19. C29×#103 | C4 | semidirect |
| 20. C29×#103 | C4 | semidirect |
| 21. C29×#102 | C4 | semidirect |
| 22. C29×#102 | C4 | semidirect |
| 132. #103 | Dic29 | semidirect |
| 133. #103 | Dic29 | semidirect |
| 134. #102 | Dic29 | semidirect |
| 135. #102 | Dic29 | semidirect |
| 136. C29 | #1866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745310 | 2 |
| C2×#11745167 | 2 |
| #14271190 | 2 |
| C2×#11745185 | 2 |
| #14270922 | 2 |
| #14270917 | 2 |
| C29×#416 | 2 |
| #1866 | 29 |