Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
256 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 20. #11745162 | C4 | semidirect |
| 92. Dic29 | #107 | semidirect |
| 121. C29 | #1947 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745166 | 2 |
| C2×#11745155 | 2 |
| C2×#11745162 | 2 |
| #14271032 | 2 |
| C4⋊C4×Dic29 | 2 |
| #14270925 | 2 |
| C29×#340 | 2 |
| #1947 | 29 |