Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #11718762 | C2 | semidirect |
| 5. #11718625 | C2 | semidirect |
| 6. #11718144 | C2 | semidirect |
| 7. #11718122 | C2 | semidirect |
| 17. #88073 | C4 | semidirect |
| 152. C13 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#102 | 2 |
| C2×#88073 | 2 |
| #11718876 | 2 |
| #11718762 | 2 |
| #11718625 | 2 |
| #11718144 | 2 |
| #11718122 | 2 |
| #1931 | 13 |