Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 83 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×#11924542 | C2 | semidirect |
| 3. C2×#11924463 | C2 | semidirect |
| 4. C2×#11924462 | C2 | semidirect |
| 5. #14557297 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C37×#408 | C2 | semidirect |
| 11. C2×#10596942 | C4 | semidirect |
| 12. C2×#10596940 | C4 | semidirect |
| 13. C2×#10596941 | C4 | semidirect |
| 14. C2×#10596939 | C4 | semidirect |
| 135. #408 | D37 | semidirect |
| 138. C37 | #1876 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924556 | 2 |
| C2×#11924542 | 2 |
| C2×#11924463 | 2 |
| C2×#11924462 | 2 |
| #14557297 | 2 |
| #14557287 | 2 |
| C37×#408 | 2 |
| #1876 | 37 |