Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. #14558010 | C2 | semidirect |
| 4. #14557632 | C2 | semidirect |
| 5. #14557620 | C2 | semidirect |
| 6. #14557541 | C2 | semidirect |
| 8. #14557488 | C2 | semidirect |
| 9. C37×#427 | C2 | semidirect |
| 12. C2×#10596930 | C4 | semidirect |
| 17. #11924501 | C22 | semidirect |
| 23. #11924459 | C22 | semidirect |
| 25. #11924446 | C22 | semidirect |
| 26. C8×Dic37 | C22 | semidirect |
| 30. #107×C37 | C22 | semidirect |
| 31. #106×C37 | C22 | semidirect |
| 42. C2×Dic74 | C2×C4 | semidirect |
| 44. C2×C8×C37 | C2×C4 | semidirect |
| 61. #10596930 | C2×C4 | semidirect |
| 62. #10596930 | C2×C4 | semidirect |
| 109. #427 | D37 | semidirect |
| 113. C37 | #2949 | semidirect |
| 130. #107 | C2×D37 | semidirect |
| 131. #106 | C2×D37 | semidirect |
| 152. C2×C8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596930 | 2 |
| #14558010 | 2 |
| #14558007 | 2 |
| #14557632 | 2 |
| #14557620 | 2 |
| #14557541 | 2 |
| #14557537 | 2 |
| #14557488 | 2 |
| C37×#427 | 2 |
| #2949 | 37 |