Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
488 conjugacy classes of subgroups; only the 146 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 146 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. #14558403 | C2 | direct (N × H) |
| 8. C2×#10596953 | C4 | semidirect |
| 13. C2×C4×#3866 | C4 | semidirect |
| 18. #11924494 | C4 | semidirect |
| 20. C2×C4⋊Dic37 | C4 | semidirect |
| 23. C2×C4⋊C4×C37 | C4 | semidirect |
| 45. C4×#3866 | C2×C4 | semidirect |
| 48. #10596953 | C2×C4 | semidirect |
| 50. C4⋊C4×C37 | C2×C4 | semidirect |
| 54. C4⋊Dic37 | C2×C4 | semidirect |
| 114. C2×C37 | #339 | semidirect |
| 125. C37 | C2×#339 | semidirect |
| 138. C2×C4⋊C4 | #3866 | semidirect |
| 170. C4⋊C4 | C2×#3866 | semidirect |
| 237. C2 | #14558403 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596953 | 2 |
| C22×C4×#3866 | 2 |
| #14558403 | 2 |
| C2×#11924494 | 2 |
| C2×#339 | 37 |