Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
160 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 78 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. #14558426 | C2 | semidirect |
| 3. #14558425 | C2 | semidirect |
| 5. #11924611 | C4 | semidirect |
| 7. D37⋊C16 | C4 | semidirect |
| 56. C37 | #2110 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D37⋊M32 | 2 |
| #14558426 | 2 |
| #14558425 | 2 |
| #14557487 | 2 |
| #2110 | 37 |