Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
168 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
| 16. #11924476 | C4 | semidirect |
| 18. C16×D37 | C4 | semidirect |
| 19. M32×C37 | C4 | semidirect |
| 35. #10596927 | C2×C4 | semidirect |
| 36. C16×C37 | C2×C4 | semidirect |
| 37. #10596925 | C2×C4 | semidirect |
| 68. D37 | #347 | semidirect |
| 74. C37 | C2×#347 | semidirect |
| 82. M32 | #3866 | semidirect |
| 106. C16 | C2×#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D37⋊M32 | 2 |
| C2×#11924590 | 2 |
| #14558424 | 2 |
| #14558423 | 2 |
| M32×D37 | 2 |
| C2×#347 | 37 |