Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
336 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14557876 | C2 | semidirect |
| 3. #14557870 | C2 | semidirect |
| 4. #14557837 | C2 | semidirect |
| 5. #14557792 | C2 | semidirect |
| 6. C4×Dic148 | C2 | semidirect |
| 8. #14557572 | C2 | semidirect |
| 9. C37×#499 | C2 | semidirect |
| 98. #499 | D37 | semidirect |
| 106. C37 | #3352 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558221 | 2 |
| #14557876 | 2 |
| #14557870 | 2 |
| #14557837 | 2 |
| #14557792 | 2 |
| C4×Dic148 | 2 |
| #14557612 | 2 |
| #14557572 | 2 |
| C37×#499 | 2 |
| #3352 | 37 |