Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
524 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 524 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. C22×D296 | C2 | semidirect |
| 2. #14558097 | C2 | semidirect |
| 3. #14557786 | C2 | semidirect |
| 4. #14557769 | C2 | semidirect |
| 5. #14557571 | C2 | semidirect |
| 6. #14557539 | C2 | semidirect |
| 7. C2×#131×C37 | C2 | semidirect |
| 14. #11924510 | C22 | semidirect |
| 17. #11924470 | C22 | semidirect |
| 18. #11924468 | C22 | semidirect |
| 19. #11924458 | C22 | semidirect |
| 23. C2×M16×C37 | C22 | semidirect |
| 25. C22×C8×C37 | C22 | semidirect |
| 42. C2×C8×C37 | D4 | semidirect |
| 95. C2×#131 | D37 | semidirect |
| 101. C37 | #3058 | semidirect |
| 109. C2×M16 | C2×D37 | semidirect |
| 111. C22×C8 | C2×D37 | semidirect |
| 138. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D296 | 2 |
| #14558097 | 2 |
| #14557786 | 2 |
| #14557769 | 2 |
| #14557571 | 2 |
| #14557539 | 2 |
| C2×#131×C37 | 2 |
| #3058 | 37 |