Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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×#11745170 | C2 | semidirect |
| 3. #14271173 | C2 | semidirect |
| 5. C2×#11745172 | C2 | semidirect |
| 6. #14271121 | C2 | semidirect |
| 15. C2×#90783 | C4 | semidirect |
| 132. C29 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90783 | 2 |
| C2×#11745170 | 2 |
| #14271173 | 2 |
| #14271168 | 2 |
| C2×#11745172 | 2 |
| #14271121 | 2 |
| C2×C29×#100 | 2 |
| #1977 | 29 |