Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
456 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 189 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. #14271268 | C2 | semidirect |
| 4. C4×#90785 | C2 | semidirect |
| 17. C2×#90785 | C4 | semidirect |
| 130. C29 | #2950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90785 | 2 |
| #14271640 | 2 |
| #14271268 | 2 |
| C4×#90785 | 2 |
| #14271199 | 2 |
| #14271172 | 2 |
| #14271171 | 2 |
| #14271119 | 2 |
| C29×#519 | 2 |
| #2950 | 29 |