Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 15. #11745163 | C4 | semidirect |
| 16. C8×Dic29 | C4 | semidirect |
| 89. C29 | #1841 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| M16×Dic29 | 2 |
| #14270934 | 2 |
| #14270924 | 2 |
| #14270922 | 2 |
| #14270921 | 2 |
| #14270919 | 2 |
| C29×#344 | 2 |
| #1841 | 29 |