Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
278 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14271203 | C2 | semidirect |
| 5. C2×#11745184 | C2 | semidirect |
| 6. #14270923 | C2 | semidirect |
| 7. C29×#391 | C2 | semidirect |
| 120. #391 | D29 | semidirect |
| 147. C29 | #2038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271737 | 2 |
| #14271203 | 2 |
| C2×#11745153 | 2 |
| #14271162 | 2 |
| C2×#11745184 | 2 |
| #14270923 | 2 |
| C29×#391 | 2 |
| #2038 | 29 |