Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 5. #11718377 | C2 | semidirect |
| 6. #11718364 | C2 | semidirect |
| 7. #11718360 | C2 | semidirect |
| 8. C4×Dic52 | C2 | semidirect |
| 9. #11718344 | C2 | semidirect |
| 128. C13 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719223 | 2 |
| C13×#405 | 2 |
| #11718798 | 2 |
| #11718777 | 2 |
| #11718377 | 2 |
| #11718364 | 2 |
| #11718360 | 2 |
| C4×Dic52 | 2 |
| #11718344 | 2 |
| #3177 | 13 |