Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 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 |
|---|---|---|
| 2. C22×#10596942 | C2 | semidirect |
| 3. #14558107 | C2 | semidirect |
| 4. #14557692 | C2 | semidirect |
| 5. #14557687 | C2 | semidirect |
| 6. #14557543 | C2 | semidirect |
| 7. #14557529 | C2 | semidirect |
| 8. #14557501 | C2 | semidirect |
| 9. C2×#137×C37 | C2 | semidirect |
| 142. C2×#137 | D37 | semidirect |
| 150. C37 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924583 | 2 |
| C22×#10596942 | 2 |
| #14558107 | 2 |
| #14557692 | 2 |
| #14557687 | 2 |
| #14557543 | 2 |
| #14557529 | 2 |
| #14557501 | 2 |
| C2×#137×C37 | 2 |
| #3011 | 37 |