Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
568 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 205 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. #14557400 | C2 | semidirect |
| 3. #14557397 | C2 | semidirect |
| 6. C4×#10596936 | C2 | semidirect |
| 8. #14557379 | C2 | semidirect |
| 9. C37×#376 | C2 | semidirect |
| 19. C42×D37 | C4 | semidirect |
| 107. #376 | D37 | semidirect |
| 108. C37 | #2283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C42×D37 | 2 |
| #14557400 | 2 |
| #14557397 | 2 |
| #14557395 | 2 |
| #14557392 | 2 |
| C4×#10596936 | 2 |
| C4×#10596938 | 2 |
| #14557379 | 2 |
| C37×#376 | 2 |
| #2283 | 37 |