Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
260 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 36. M16×C29 | Q8 | semidirect |
| 52. #90777 | Q8 | semidirect |
| 123. C29 | #1997 | semidirect |
| 139. M16 | Dic58 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745250 | 2 |
| #14271186 | 2 |
| M16×Dic29 | 2 |
| #14270932 | 2 |
| #14270931 | 2 |
| C29×#343 | 2 |
| #1997 | 29 |