Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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×#102 | C2 | semidirect |
| 3. C2×#88073 | C2 | semidirect |
| 4. #11718771 | C2 | semidirect |
| 5. C2×#88059 | C2 | semidirect |
| 6. #11718627 | C2 | semidirect |
| 7. #11718122 | C2 | semidirect |
| 94. C2×#102 | D13 | semidirect |
| 174. C13 | #2051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88186 | 2 |
| C2×C13×#102 | 2 |
| C2×#88073 | 2 |
| #11718771 | 2 |
| C2×#88059 | 2 |
| #11718627 | 2 |
| #11718122 | 2 |
| #2051 | 13 |