Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
120 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 30. C16×C29 | Q8 | semidirect |
| 31. #90768 | Q8 | semidirect |
| 74. C29 | #2255 | semidirect |
| 87. C16 | Dic58 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271567 | 2 |
| #14271564 | 2 |
| #14270990 | 2 |
| #14270989 | 2 |
| #14270988 | 2 |
| #14270938 | 2 |
| C29×#367 | 2 |
| #2255 | 29 |