Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
284 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #14557488 | C2 | semidirect |
| 5. #14557305 | C2 | semidirect |
| 6. #14557303 | C2 | semidirect |
| 7. C37×#405 | C2 | semidirect |
| 15. C2×#10596929 | C4 | semidirect |
| 16. C2×C8×D37 | C4 | semidirect |
| 18. #11924454 | C4 | semidirect |
| 19. #11924452 | C4 | semidirect |
| 111. #405 | D37 | semidirect |
| 114. C37 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924542 | 2 |
| #14557515 | 2 |
| #14557506 | 2 |
| #14557488 | 2 |
| #14557305 | 2 |
| #14557303 | 2 |
| C37×#405 | 2 |
| #1757 | 37 |