Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
392 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 133 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. #11719175 | C2 | semidirect |
| 3. C2×C13×#97 | C2 | semidirect |
| 4. #11718774 | C2 | semidirect |
| 5. #11718375 | C2 | semidirect |
| 6. #11718374 | C2 | semidirect |
| 7. #11718364 | C2 | semidirect |
| 70. C2×#97 | D13 | semidirect |
| 124. C13 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719182 | 2 |
| #11719175 | 2 |
| C2×C13×#97 | 2 |
| #11718774 | 2 |
| #11718375 | 2 |
| #11718374 | 2 |
| #11718364 | 2 |
| #3135 | 13 |