Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
774 conjugacy classes of subgroups; only the 297 normal subgroups are shown.
This group has 774 conjugacy classes of subgroups — too many to draw. Only its 297 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. C2×#88202 | C2 | semidirect |
| 3. #11718895 | C2 | semidirect |
| 4. #11718868 | C2 | semidirect |
| 5. C2×C22⋊#1055 | C2 | semidirect |
| 15. C2×#6099 | C22 | semidirect |
| 16. C22×#1055 | C22 | semidirect |
| 19. C22⋊#1055 | C22 | semidirect |
| 20. C22⋊#1055 | C22 | semidirect |
| 82. C22×C13 | #131 | semidirect |
| 132. C13 | #2880 | semidirect |
| 164. C22 | #88202 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C13×#41 | 2 |
| C2×#88202 | 2 |
| #11718895 | 2 |
| #11718868 | 2 |
| C2×C22⋊#1055 | 2 |
| #2880 | 13 |