Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
220 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 81 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×C13×M32 | C2 | semidirect |
| 3. C2×#88059 | C2 | semidirect |
| 4. #11718109 | C2 | semidirect |
| 5. #11718108 | C2 | semidirect |
| 70. C2×M32 | D13 | semidirect |
| 130. C13 | #2148 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88158 | 2 |
| C2×C13×M32 | 2 |
| C2×#88059 | 2 |
| #11718109 | 2 |
| #11718108 | 2 |
| #2148 | 13 |