Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
504 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 177 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 |
|---|---|---|
| 46. C42×C37 | Q8 | semidirect |
| 55. C4×Dic37 | Q8 | semidirect |
| 112. C37 | #2399 | semidirect |
| 158. C42 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic74 | 2 |
| #14557467 | 2 |
| #14557466 | 2 |
| #14557454 | 2 |
| #14557453 | 2 |
| C4×#10596936 | 2 |
| C4×C4⋊Dic37 | 2 |
| #14557379 | 2 |
| C4×C4⋊C4×C37 | 2 |
| #2399 | 37 |