Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
160 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14270940 | C2 | semidirect |
| 8. C29×M32 | C4 | semidirect |
| 10. C2×C16×C29 | C4 | semidirect |
| 13. #11745160 | C4 | semidirect |
| 15. C2×#90768 | C4 | semidirect |
| 67. M32 | Dic29 | semidirect |
| 70. C2×C16 | Dic29 | semidirect |
| 73. C29 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745160 | 2 |
| #14271118 | 2 |
| #14270940 | 2 |
| C2×C29×M32 | 2 |
| #2110 | 29 |