Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14558300 | C2 | semidirect |
| 3. #14557537 | C2 | semidirect |
| 4. C2×#11924452 | C2 | semidirect |
| 5. #14557303 | C2 | semidirect |
| 6. #14557291 | C2 | semidirect |
| 7. C37×#421 | C2 | semidirect |
| 11. C2×#10596941 | C4 | semidirect |
| 12. C2×#10596939 | C4 | semidirect |
| 115. #421 | 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×#11924561 | 2 |
| #14558300 | 2 |
| #14557537 | 2 |
| C2×#11924452 | 2 |
| #14557303 | 2 |
| #14557291 | 2 |
| C37×#421 | 2 |
| #1903 | 37 |