Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
300 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 20. #11745250 | C4 | semidirect |
| 34. C2×C8×C29 | Q8 | semidirect |
| 50. C2×#6597 | Q8 | semidirect |
| 125. C29 | #1990 | semidirect |
| 141. C2×C8 | Dic58 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745250 | 2 |
| C2×C8×Dic29 | 2 |
| #14271032 | 2 |
| #14270926 | 2 |
| #14270925 | 2 |
| C29×#340 | 2 |
| #1990 | 29 |