Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
412 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 90 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. C22⋊C4×#3866 | C2 | semidirect |
| 4. #14558410 | C2 | semidirect |
| 6. C23×#3866 | C4 | semidirect |
| 10. C2×C4⋊#3866 | C4 | semidirect |
| 11. C2×C22⋊#3866 | C4 | semidirect |
| 15. C2×C4×#3866 | C4 | semidirect |
| 16. #11924595 | C4 | semidirect |
| 17. #11924594 | C4 | semidirect |
| 21. #11924451 | C4 | semidirect |
| 22. #11924450 | C4 | semidirect |
| 23. #99×C37 | C4 | semidirect |
| 48. C22⋊#3866 | C2×C4 | semidirect |
| 53. C22⋊C4×C37 | C2×C4 | semidirect |
| 54. C22⋊Dic37 | C2×C4 | semidirect |
| 56. C23×C37 | C42 | semidirect |
| 64. C22×D37 | C42 | semidirect |
| 87. C2×C4×C37 | C42 | semidirect |
| 91. C2×Dic37 | C42 | semidirect |
| 121. #3866 | #99 | direct (N × H) |
| 141. C37 | C4×#99 | semidirect |
| 158. #99 | #3866 | direct (N × H) |
| 188. C22⋊C4 | C2×#3866 | semidirect |
| 203. C23 | C4×#3866 | semidirect |
| 232. 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×D4×#3866 | 2 |
| D37⋊#99 | 2 |
| C22⋊C4×#3866 | 2 |
| #14558410 | 2 |
| #99×D37 | 2 |
| C4×#99 | 37 |