Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
596 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 177 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. #14557433 | C2 | semidirect |
| 3. #14557422 | C2 | semidirect |
| 4. #14557418 | C2 | semidirect |
| 5. #14557411 | C2 | semidirect |
| 6. #14557409 | C2 | semidirect |
| 7. C4×C22⋊Dic37 | C2 | semidirect |
| 8. #14557380 | C2 | semidirect |
| 9. C37×#381 | C2 | semidirect |
| 13. #11924510 | C4 | semidirect |
| 36. C22×C4×C37 | C2×C4 | semidirect |
| 43. C2×C22⋊D37 | C2×C4 | semidirect |
| 59. #10596938 | C2×C4 | semidirect |
| 60. C4⋊Dic37 | C2×C4 | semidirect |
| 141. #381 | D37 | semidirect |
| 144. C37 | #2333 | semidirect |
| 183. C22×C4 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924510 | 2 |
| #14557433 | 2 |
| #14557422 | 2 |
| #14557418 | 2 |
| #14557411 | 2 |
| #14557409 | 2 |
| C4×C22⋊Dic37 | 2 |
| #14557380 | 2 |
| C37×#381 | 2 |
| #2333 | 37 |