Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
312 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14271173 | C2 | semidirect |
| 4. #14270920 | C2 | semidirect |
| 11. #11745306 | C4 | semidirect |
| 12. #11745298 | C4 | semidirect |
| 99. C29 | #1909 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271734 | 2 |
| #14271173 | 2 |
| #14271137 | 2 |
| #14270920 | 2 |
| C29×#568 | 2 |
| #1909 | 29 |