Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14558261 | C2 | semidirect |
| 3. #14557884 | C2 | semidirect |
| 4. #14557882 | C2 | semidirect |
| 5. #14557818 | C2 | semidirect |
| 6. #14557817 | C2 | semidirect |
| 9. C8×Dic74 | C2 | semidirect |
| 95. Dic74 | SD16 | semidirect |
| 130. C37 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558261 | 2 |
| D4×Dic74 | 2 |
| #14557884 | 2 |
| #14557882 | 2 |
| #14557818 | 2 |
| #14557817 | 2 |
| #14557738 | 2 |
| #14557736 | 2 |
| C8×Dic74 | 2 |
| #14557624 | 2 |
| C4×SD16×C37 | 2 |
| #3359 | 37 |