Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14558299 | C2 | semidirect |
| 3. #14557549 | C2 | semidirect |
| 4. #14557539 | C2 | semidirect |
| 5. C2×#11924452 | C2 | semidirect |
| 6. #14557304 | C2 | semidirect |
| 7. C37×#338 | C2 | semidirect |
| 12. C2×#10596930 | C4 | semidirect |
| 13. C2×D296 | C4 | semidirect |
| 119. #338 | D37 | semidirect |
| 120. C37 | #1903 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924564 | 2 |
| #14558299 | 2 |
| #14557549 | 2 |
| #14557539 | 2 |
| C2×#11924452 | 2 |
| #14557304 | 2 |
| C37×#338 | 2 |
| #1903 | 37 |