Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 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. #14271179 | C2 | semidirect |
| 3. #14271173 | C2 | semidirect |
| 4. #14271137 | C2 | semidirect |
| 5. C29×#413 | C2 | semidirect |
| 12. C2×#90805 | C4 | semidirect |
| 14. C22×Dic58 | C4 | semidirect |
| 107. #413 | D29 | semidirect |
| 131. C29 | #1796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745365 | 2 |
| #14271179 | 2 |
| #14271173 | 2 |
| #14271137 | 2 |
| C29×#413 | 2 |
| #1796 | 29 |