Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
390 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22×#6107 | C2 | semidirect |
| 4. C2×#88075 | C2 | semidirect |
| 6. #11718590 | C2 | semidirect |
| 7. #11718116 | C2 | semidirect |
| 189. C13 | #2015 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#124 | 2 |
| C22×#6107 | 2 |
| C22×#6105 | 2 |
| C2×#88075 | 2 |
| C2×#88072 | 2 |
| #11718590 | 2 |
| #11718116 | 2 |
| #2015 | 13 |