Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
332 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 83 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×#88161 | C2 | semidirect |
| 3. C2×C13×#100 | C2 | semidirect |
| 4. C2×#88072 | C2 | semidirect |
| 5. #11718794 | C2 | semidirect |
| 6. #11718150 | C2 | semidirect |
| 7. #11718146 | C2 | semidirect |
| 14. #88186 | C4 | semidirect |
| 102. C2×#100 | D13 | semidirect |
| 187. C13 | #1907 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88186 | 2 |
| C2×#88161 | 2 |
| C2×C13×#100 | 2 |
| C2×#88072 | 2 |
| #11718794 | 2 |
| #11718150 | 2 |
| #11718146 | 2 |
| #1907 | 13 |