Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
872 conjugacy classes of subgroups; only the 233 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 233 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×#11924501 | C2 | semidirect |
| 3. #14557434 | C2 | semidirect |
| 4. #14557433 | C2 | semidirect |
| 5. #14557392 | C2 | semidirect |
| 6. C4×C22⋊Dic37 | C2 | semidirect |
| 7. #14557380 | C2 | semidirect |
| 8. C37×#380 | C2 | semidirect |
| 10. C2×#10596962 | C4 | semidirect |
| 82. C2×Dic37 | #41 | semidirect |
| 85. Dic74 | C22⋊C4 | semidirect |
| 120. #380 | D37 | semidirect |
| 123. C37 | #2341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596962 | 2 |
| C2×#11924501 | 2 |
| #14557434 | 2 |
| #14557433 | 2 |
| #14557392 | 2 |
| C4×C22⋊Dic37 | 2 |
| #14557380 | 2 |
| C37×#380 | 2 |
| #2341 | 37 |