Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
738 conjugacy classes of subgroups; only the 249 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 249 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. #14558300 | C2 | semidirect |
| 3. #14557551 | C2 | semidirect |
| 4. C2×#11924464 | C2 | semidirect |
| 5. C4×#41×C37 | C2 | semidirect |
| 7. #11924583 | C4 | semidirect |
| 8. #11924582 | C4 | semidirect |
| 13. C2×#10596934 | C22 | semidirect |
| 14. #11924464 | C22 | semidirect |
| 15. #11924464 | C22 | semidirect |
| 19. #117×C37 | C22 | semidirect |
| 20. C2×C42×C37 | C22 | semidirect |
| 34. #10596962 | C2×C4 | semidirect |
| 36. C2×D148 | C2×C4 | semidirect |
| 38. C2×Dic74 | C2×C4 | semidirect |
| 86. C4×#41 | D37 | semidirect |
| 89. C37 | #2901 | semidirect |
| 101. #117 | C2×D37 | semidirect |
| 102. C2×C42 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558369 | 2 |
| #14558300 | 2 |
| #14557551 | 2 |
| C2×#11924464 | 2 |
| C4×#41×C37 | 2 |
| #2901 | 37 |