Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
278 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 278 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 |
|---|---|---|
| 2. C2×#11745170 | C2 | semidirect |
| 4. #14270927 | C2 | semidirect |
| 72. C22×C29 | #108 | semidirect |
| 104. C29 | #1855 | semidirect |
| 157. C22 | #11745170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#90777 | 2 |
| C2×#11745170 | 2 |
| C2×C22⋊#6597 | 2 |
| #14270927 | 2 |
| C29×#407 | 2 |
| #1855 | 29 |