Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
286 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14271023 | C2 | semidirect |
| 3. #14270901 | C2 | semidirect |
| 4. #14270898 | C2 | semidirect |
| 5. C29×#407 | C2 | semidirect |
| 7. C2×#90805 | C4 | semidirect |
| 11. #11745292 | C4 | semidirect |
| 16. #11745288 | C4 | semidirect |
| 18. #11745286 | C4 | semidirect |
| 111. #407 | D29 | semidirect |
| 140. C29 | #1513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271674 | 2 |
| #14271023 | 2 |
| #14270901 | 2 |
| #14270898 | 2 |
| C29×#407 | 2 |
| #1513 | 29 |