Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
928 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 928 conjugacy classes of subgroups — too many to draw. Only its 237 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. C2×C4×D148 | C2 | semidirect |
| 3. #14557439 | C2 | semidirect |
| 4. #14557409 | C2 | semidirect |
| 5. #14557395 | C2 | semidirect |
| 6. #14557393 | C2 | semidirect |
| 7. #95×D37 | C2 | semidirect |
| 8. C4×C22⋊C4×C37 | C2 | semidirect |
| 10. C2×#10596962 | C4 | semidirect |
| 31. C22×C4×C37 | C2×C4 | semidirect |
| 37. C2×C22⋊D37 | C2×C4 | semidirect |
| 47. C2×C4×D37 | C2×C4 | semidirect |
| 49. C2×Dic74 | C2×C4 | semidirect |
| 76. C2×C4×C37 | #41 | semidirect |
| 83. D148 | C22⋊C4 | semidirect |
| 122. C4×C22⋊C4 | D37 | semidirect |
| 124. C37 | #2339 | semidirect |
| 161. C22×C4 | C4×D37 | semidirect |
| 201. C2×C4 | #10596962 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596962 | 2 |
| C2×C4×D148 | 2 |
| #14557439 | 2 |
| #14557409 | 2 |
| #14557395 | 2 |
| #14557393 | 2 |
| #95×D37 | 2 |
| C4×C22⋊C4×C37 | 2 |
| #2339 | 37 |