Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
552 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 185 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. #14557421 | C2 | semidirect |
| 4. #14557421 | C2 | semidirect |
| 5. #14557420 | C2 | semidirect |
| 6. #14557384 | C2 | semidirect |
| 7. C22⋊C4×Dic37 | C2 | semidirect |
| 8. C4×C22⋊Dic37 | C2 | semidirect |
| 11. #11924517 | C4 | semidirect |
| 44. C22×Dic37 | C2×C4 | semidirect |
| 54. C22⋊Dic37 | C2×C4 | semidirect |
| 57. #10596936 | C2×C4 | semidirect |
| 136. C37 | #2374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924517 | 2 |
| #14557436 | 2 |
| #14557421 | 2 |
| #14557420 | 2 |
| #14557384 | 2 |
| C22⋊C4×Dic37 | 2 |
| C4×C22⋊Dic37 | 2 |
| C37×#386 | 2 |
| #2374 | 37 |