Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
312 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 1. #14558537 | C2 | semidirect |
| 3. C4×C4⋊#3866 | C2 | semidirect |
| 4. #14558403 | C2 | semidirect |
| 14. C4×Dic74 | C4 | semidirect |
| 15. #11924501 | C4 | semidirect |
| 16. D4×Dic37 | C4 | semidirect |
| 23. C4×D4×C37 | C4 | semidirect |
| 64. D4×C37 | C4⋊C4 | semidirect |
| 87. Dic74 | C4⋊C4 | semidirect |
| 100. C4×C37 | #104 | semidirect |
| 121. C37 | #1806 | semidirect |
| 129. C4×D4 | #3866 | semidirect |
| 181. D4 | C4⋊#3866 | semidirect |
| 222. C4 | #11924600 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558537 | 2 |
| C2×#11924600 | 2 |
| C4×C4⋊#3866 | 2 |
| #14558403 | 2 |
| C4×#10596964 | 2 |
| #1806 | 37 |