Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
476 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #14557573 | C2 | semidirect |
| 4. #14557572 | C2 | semidirect |
| 5. #14557571 | C2 | semidirect |
| 6. #14557568 | C2 | semidirect |
| 7. #106×D37 | C2 | semidirect |
| 8. C2×#106×C37 | C2 | semidirect |
| 10. #11924542 | C4 | semidirect |
| 38. C2×C8×C37 | C2×C4 | semidirect |
| 50. #10596934 | C2×C4 | semidirect |
| 52. #10596929 | C2×C4 | semidirect |
| 53. C8×D37 | C2×C4 | semidirect |
| 98. C2×#106 | D37 | semidirect |
| 99. C37 | #2912 | semidirect |
| 133. C2×C8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924542 | 2 |
| #14558014 | 2 |
| #14557573 | 2 |
| #14557572 | 2 |
| #14557571 | 2 |
| #14557568 | 2 |
| #106×D37 | 2 |
| C2×#106×C37 | 2 |
| #2912 | 37 |