Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #14271532 | C2 | semidirect |
| 3. #14271523 | C2 | semidirect |
| 4. #14271522 | C2 | semidirect |
| 5. #14270904 | C2 | semidirect |
| 6. #14270902 | C2 | semidirect |
| 7. C29×#329 | C2 | semidirect |
| 98. #329 | D29 | semidirect |
| 123. C29 | #1662 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271907 | 2 |
| #14271532 | 2 |
| #14271523 | 2 |
| #14271522 | 2 |
| #14270904 | 2 |
| #14270902 | 2 |
| C29×#329 | 2 |
| #1662 | 29 |