Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14271218 | C2 | semidirect |
| 3. #97×D29 | C2 | semidirect |
| 4. #14270903 | C2 | semidirect |
| 5. #14270902 | C2 | semidirect |
| 6. #14270902 | C2 | semidirect |
| 7. C29×#329 | C2 | semidirect |
| 110. #329 | D29 | semidirect |
| 136. C29 | #1530 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271712 | 2 |
| #14271218 | 2 |
| #97×D29 | 2 |
| #14270903 | 2 |
| #14270902 | 2 |
| C29×#329 | 2 |
| #1530 | 29 |