Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
186 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 19. #11745156 | C4 | semidirect |
| 20. #11745156 | C4 | semidirect |
| 21. #11745155 | C4 | semidirect |
| 22. #11745155 | C4 | semidirect |
| 111. C29 | #1922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271199 | 2 |
| #14271189 | 2 |
| #14270927 | 2 |
| #14270924 | 2 |
| #14270922 | 2 |
| #14270917 | 2 |
| C29×#405 | 2 |
| #1922 | 29 |