Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
238 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14270957 | C2 | semidirect |
| 6. C22×Dic58 | C4 | semidirect |
| 8. #11745306 | C4 | semidirect |
| 13. #11745288 | C4 | semidirect |
| 113. C29 | #2129 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271734 | 2 |
| #14271137 | 2 |
| #14270957 | 2 |
| C29×#410 | 2 |
| #2129 | 29 |