Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
156 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14270991 | C2 | semidirect |
| 4. #14270989 | C2 | semidirect |
| 9. C29×M32 | C4 | semidirect |
| 28. C16×C29 | C2×C4 | semidirect |
| 64. M32 | Dic29 | semidirect |
| 71. C29 | #2159 | semidirect |
| 84. C16 | C2×Dic29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271201 | 2 |
| C2×#11745166 | 2 |
| #14270991 | 2 |
| #14270989 | 2 |
| C2×C29×M32 | 2 |
| #2159 | 29 |