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 |
|---|---|---|
| 3. #14558424 | C2 | semidirect |
| 4. #14558423 | C2 | semidirect |
| 9. #11924610 | C4 | semidirect |
| 10. D37⋊C16 | C4 | semidirect |
| 14. #11924475 | C4 | semidirect |
| 15. #11924475 | C4 | semidirect |
| 18. C2×#10596925 | C4 | semidirect |
| 19. C2×C16×C37 | C4 | semidirect |
| 70. C37 | #2110 | semidirect |
| 82. C2×C16 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D37⋊M32 | 2 |
| #14558496 | 2 |
| #14558424 | 2 |
| #14558423 | 2 |
| C2×#11924475 | 2 |
| #2110 | 37 |