Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
292 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 32. C2×Dic74 | C8 | semidirect |
| 38. C2×C8×C37 | Q8 | semidirect |
| 53. C2×#64436 | Q8 | semidirect |
| 116. C37 | #1984 | semidirect |
| 153. C2×C8 | 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 |
| C2×#11924465 | 2 |
| C2×C8×Dic37 | 2 |
| #14557288 | 2 |
| #14557287 | 2 |
| C37×#336 | 2 |
| #1984 | 37 |