Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
264 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#88059 | C2 | semidirect |
| 4. C2×#88058 | C2 | semidirect |
| 5. #11718146 | C2 | semidirect |
| 8. C13×#131 | C4 | semidirect |
| 89. #131 | Dic13 | semidirect |
| 131. C13 | #1816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#131 | 2 |
| #11718893 | 2 |
| C2×#88059 | 2 |
| C2×#88058 | 2 |
| #11718146 | 2 |
| #1816 | 13 |