Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
816 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 269 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 |
|---|---|---|
| 3. #14557406 | C2 | semidirect |
| 4. #14557405 | C2 | semidirect |
| 5. #14557391 | C2 | semidirect |
| 9. C2×#10596936 | C22 | semidirect |
| 11. C2×C22⋊Dic37 | C4 | semidirect |
| 16. #11924443 | C22 | semidirect |
| 35. C22×Dic37 | C2×C4 | semidirect |
| 42. C22⋊Dic37 | C2×C4 | semidirect |
| 43. C22⋊Dic37 | C2×C4 | semidirect |
| 51. C23×C37 | C4⋊C4 | semidirect |
| 105. C37 | #2315 | semidirect |
| 150. C23 | #10596936 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊Dic37 | 2 |
| #14557406 | 2 |
| #14557405 | 2 |
| #14557391 | 2 |
| C22×C22⋊C4×C37 | 2 |
| #2315 | 37 |