Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 256 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 |
|---|---|---|
| 1. C2×#11745167 | C2 | semidirect |
| 2. #14271201 | C2 | semidirect |
| 4. #14270935 | C2 | semidirect |
| 9. C29×#131 | C4 | semidirect |
| 10. C29×#131 | C4 | semidirect |
| 100. #131 | Dic29 | semidirect |
| 101. #131 | Dic29 | semidirect |
| 113. C29 | #1814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745167 | 2 |
| #14271201 | 2 |
| #14271180 | 2 |
| #14270935 | 2 |
| C2×C29×#131 | 2 |
| #1814 | 29 |