Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#11924562 | C2 | semidirect |
| 2. C2×#11924558 | C2 | semidirect |
| 3. #14558100 | C2 | semidirect |
| 4. #14557921 | C2 | semidirect |
| 5. #14557916 | C2 | semidirect |
| 6. #14557908 | C2 | semidirect |
| 7. #14557488 | C2 | semidirect |
| 8. C22×D8×C37 | C2 | semidirect |
| 12. C2×Dic148 | C22 | semidirect |
| 13. C2×#10596930 | C22 | semidirect |
| 14. C2×#10596940 | C22 | semidirect |
| 15. C2×D296 | C22 | semidirect |
| 16. C2×#10596939 | C22 | semidirect |
| 18. #11924532 | C22 | semidirect |
| 19. #11924523 | C22 | semidirect |
| 23. #11924446 | C22 | semidirect |
| 24. C8×Dic37 | C22 | semidirect |
| 45. C2×C8×C37 | D4 | semidirect |
| 54. #10596934 | D4 | semidirect |
| 104. C22×D8 | D37 | semidirect |
| 110. C37 | #3155 | semidirect |
| 154. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924562 | 2 |
| C2×#11924558 | 2 |
| #14558100 | 2 |
| #14557921 | 2 |
| #14557916 | 2 |
| #14557908 | 2 |
| #14557488 | 2 |
| C22×D8×C37 | 2 |
| #3155 | 37 |