Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 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 |
|---|---|---|
| 3. #14271173 | C2 | semidirect |
| 4. #14270924 | C2 | semidirect |
| 12. #11745298 | C4 | semidirect |
| 30. C2×Dic58 | C2×C4 | semidirect |
| 40. C4×Dic29 | C2×C4 | semidirect |
| 98. C29 | #1885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745298 | 2 |
| #14271638 | 2 |
| #14271173 | 2 |
| #14270924 | 2 |
| C2×C29×#100 | 2 |
| #1885 | 29 |