Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14557938 | C2 | semidirect |
| 4. #14557744 | C2 | semidirect |
| 5. #14557280 | C2 | semidirect |
| 6. #14557265 | C2 | semidirect |
| 52. D4×C37 | Q16 | semidirect |
| 100. C37 | #1649 | semidirect |
| 152. D4 | Dic148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic74 | 2 |
| #14557938 | 2 |
| #14557813 | 2 |
| #14557744 | 2 |
| #14557280 | 2 |
| #14557265 | 2 |
| C37×D4⋊C8 | 2 |
| #1649 | 37 |