Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
384 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 213 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. #11718661 | C2 | semidirect |
| 4. #11718660 | C2 | semidirect |
| 5. #11718587 | C2 | semidirect |
| 6. C4×#6099 | C2 | semidirect |
| 7. C2×#88043 | C2 | semidirect |
| 122. C13 | #2923 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C13×#41 | 2 |
| #11718895 | 2 |
| #11718661 | 2 |
| #11718660 | 2 |
| #11718587 | 2 |
| C4×#6099 | 2 |
| C2×#88043 | 2 |
| #2923 | 13 |