Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
564 conjugacy classes of subgroups; only the 373 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 373 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 |
|---|---|---|
| 3. #11718658 | C2 | semidirect |
| 4. C4×#6099 | C2 | semidirect |
| 11. C2×#6099 | C4 | semidirect |
| 15. #88043 | C22 | semidirect |
| 16. C4×#1055 | C22 | semidirect |
| 29. #6099 | C2×C4 | semidirect |
| 30. C2×#1055 | C2×C4 | semidirect |
| 93. C13 | #2873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#117 | 2 |
| C22×#6099 | 2 |
| #11718658 | 2 |
| C4×#6099 | 2 |
| #2873 | 13 |