Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 197 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. #14557587 | C2 | semidirect |
| 3. #14557583 | C2 | semidirect |
| 4. #14557556 | C2 | semidirect |
| 6. M16×Dic37 | C2 | semidirect |
| 17. #11924465 | C22 | semidirect |
| 19. #11924446 | C22 | semidirect |
| 20. C8×Dic37 | C22 | semidirect |
| 67. C2×Dic37 | M16 | semidirect |
| 100. C37 | #2920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic37 | 2 |
| #14557587 | 2 |
| #14557583 | 2 |
| #14557556 | 2 |
| #14557497 | 2 |
| M16×Dic37 | 2 |
| C37×#407 | 2 |
| #2920 | 37 |