Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
360 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11718882 | C2 | semidirect |
| 4. C2×#88061 | C2 | semidirect |
| 5. C2×#88054 | C2 | semidirect |
| 6. #11718649 | C2 | semidirect |
| 7. #11718121 | C2 | semidirect |
| 98. C2×Dic13 | D8 | semidirect |
| 108. C2×#102 | D13 | semidirect |
| 203. C13 | #2054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6104 | 2 |
| C2×C13×#102 | 2 |
| #11718882 | 2 |
| C2×#88061 | 2 |
| C2×#88054 | 2 |
| #11718649 | 2 |
| #11718121 | 2 |
| #2054 | 13 |