Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
400 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 1. #14558557 | C2 | semidirect |
| 2. #14558550 | C2 | semidirect |
| 3. #14558549 | C2 | semidirect |
| 4. #14558540 | C2 | semidirect |
| 6. C4×#10596953 | C2 | semidirect |
| 7. C4×D37⋊C8 | C2 | semidirect |
| 113. C37 | #2922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558557 | 2 |
| #14558550 | 2 |
| #14558549 | 2 |
| #14558540 | 2 |
| #14558507 | 2 |
| C4×#10596953 | 2 |
| C4×D37⋊C8 | 2 |
| C4×#10596964 | 2 |
| #2922 | 37 |