Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
386 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14271024 | C2 | semidirect |
| 4. #14270929 | C2 | semidirect |
| 14. #11745297 | C4 | semidirect |
| 34. C22×Dic29 | C2×C4 | semidirect |
| 43. C22⋊Dic29 | C2×C4 | semidirect |
| 120. C29 | #1890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745297 | 2 |
| #14271638 | 2 |
| #14271024 | 2 |
| #14270929 | 2 |
| C2×C29×#99 | 2 |
| #1890 | 29 |