Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
880 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 880 conjugacy classes of subgroups — too many to draw. Only its 229 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×#11924493 | C2 | semidirect |
| 3. C2×C4⋊C4×D37 | C2 | semidirect |
| 4. #14557440 | C2 | semidirect |
| 5. #14557435 | C2 | semidirect |
| 6. #14557434 | C2 | semidirect |
| 7. #14557411 | C2 | semidirect |
| 8. #14557392 | C2 | semidirect |
| 9. C37×#391 | C2 | semidirect |
| 12. C2×#10596966 | C4 | semidirect |
| 36. C2×Q8×C37 | C2×C4 | semidirect |
| 50. C2×D148 | C2×C4 | semidirect |
| 56. C2×C4×D37 | C2×C4 | semidirect |
| 103. C4×D37 | C22⋊C4 | semidirect |
| 138. #391 | D37 | semidirect |
| 143. C37 | #2311 | semidirect |
| 171. C2×Q8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596966 | 2 |
| C2×#11924493 | 2 |
| C2×C4⋊C4×D37 | 2 |
| #14557440 | 2 |
| #14557435 | 2 |
| #14557434 | 2 |
| #14557411 | 2 |
| #14557392 | 2 |
| C37×#391 | 2 |
| #2311 | 37 |