Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14557903 | C2 | semidirect |
| 3. #14557895 | C2 | semidirect |
| 4. #14557890 | C2 | semidirect |
| 5. #14557885 | C2 | semidirect |
| 6. #14557541 | C2 | semidirect |
| 9. C2×#11924459 | C2 | semidirect |
| 10. #14557489 | C2 | semidirect |
| 11. C37×#544 | C2 | semidirect |
| 128. #544 | D37 | semidirect |
| 139. C37 | #3137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558109 | 2 |
| #14557903 | 2 |
| #14557895 | 2 |
| #14557890 | 2 |
| #14557885 | 2 |
| #14557541 | 2 |
| #14557532 | 2 |
| #14557527 | 2 |
| C2×#11924459 | 2 |
| #14557489 | 2 |
| C37×#544 | 2 |
| #3137 | 37 |