Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14271445 | C2 | semidirect |
| 4. #14271370 | C2 | semidirect |
| 6. #14271268 | C2 | semidirect |
| 136. C29 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic58 | 2 |
| #14271491 | 2 |
| #14271445 | 2 |
| #14271370 | 2 |
| #14271318 | 2 |
| #14271268 | 2 |
| #14271220 | 2 |
| C29×#533 | 2 |
| #3113 | 29 |