Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
756 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 198 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. #14558611 | C2 | semidirect |
| 2. #14558520 | C2 | semidirect |
| 3. #14558519 | C2 | semidirect |
| 4. D37⋊#100 | C2 | semidirect |
| 5. C2×#11924596 | C2 | semidirect |
| 8. D37⋊M16 | C22 | semidirect |
| 9. C2×#10596957 | C22 | semidirect |
| 10. #11924597 | C22 | semidirect |
| 11. #11924596 | C22 | semidirect |
| 12. #11924596 | C22 | semidirect |
| 138. C37 | #2888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558611 | 2 |
| #14558520 | 2 |
| #14558519 | 2 |
| D37⋊#100 | 2 |
| C2×#11924596 | 2 |
| C2×#11924581 | 2 |
| #2888 | 37 |