Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
388 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 100 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. #14558492 | C2 | semidirect |
| 3. C4×C4⋊#3866 | C2 | semidirect |
| 4. #14558406 | C2 | semidirect |
| 9. #11924598 | C4 | semidirect |
| 15. C4×D148 | C4 | semidirect |
| 16. D4×Dic37 | C4 | semidirect |
| 17. #11924498 | C4 | semidirect |
| 23. C4×D4×C37 | C4 | semidirect |
| 42. C4⋊#3866 | C2×C4 | semidirect |
| 45. D37⋊C8 | C2×C4 | semidirect |
| 68. D4×C37 | C42 | semidirect |
| 81. D148 | C42 | semidirect |
| 127. C37 | #1762 | semidirect |
| 136. C4×D4 | #3866 | semidirect |
| 190. D4 | C4×#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924598 | 2 |
| #14558492 | 2 |
| C4×C4⋊#3866 | 2 |
| #14558406 | 2 |
| C4×D4×D37 | 2 |
| #1762 | 37 |