Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
344 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. #14271641 | C2 | semidirect |
| 3. C2×#11745184 | C2 | semidirect |
| 4. #14270923 | C2 | semidirect |
| 9. C29×#124 | C4 | semidirect |
| 89. #124 | Dic29 | semidirect |
| 97. C29 | #1888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271641 | 2 |
| #14271168 | 2 |
| C2×#11745184 | 2 |
| #14270923 | 2 |
| C2×C29×#124 | 2 |
| #1888 | 29 |