Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
656 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 218 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. #14558484 | C2 | semidirect |
| 5. C4×C4⋊#3866 | C2 | semidirect |
| 18. #11924495 | C4 | semidirect |
| 19. #11924494 | C4 | semidirect |
| 20. #11924493 | C4 | semidirect |
| 21. #11924492 | C4 | semidirect |
| 25. #117×C37 | C4 | semidirect |
| 46. C4⋊C4×C37 | C2×C4 | semidirect |
| 48. C42×C37 | C2×C4 | semidirect |
| 51. C4⋊Dic37 | C2×C4 | semidirect |
| 52. #10596936 | C2×C4 | semidirect |
| 53. C4×Dic37 | C2×C4 | semidirect |
| 54. C4×Dic37 | C2×C4 | semidirect |
| 67. C2×C4×C37 | C4⋊C4 | semidirect |
| 71. C2×Dic37 | C4⋊C4 | semidirect |
| 76. C4×D37 | C4⋊C4 | semidirect |
| 77. C4×D37 | C4⋊C4 | semidirect |
| 113. C37 | #2296 | semidirect |
| 121. #117 | #3866 | semidirect |
| 151. C4⋊C4 | C2×#3866 | semidirect |
| 161. C42 | C2×#3866 | semidirect |
| 185. C2×C4 | C4⋊#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924615 | 2 |
| C22×C4×#3866 | 2 |
| #14558484 | 2 |
| #14558480 | 2 |
| C4×C4⋊#3866 | 2 |
| #117×D37 | 2 |
| #2296 | 37 |