Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
228 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 228 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 |
|---|---|---|
| 1. C13×#424 | C2 | semidirect |
| 4. C2×#88059 | C2 | semidirect |
| 6. #11718656 | C2 | semidirect |
| 7. #11718146 | C2 | semidirect |
| 77. #424 | D13 | semidirect |
| 147. C13 | #2063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#424 | 2 |
| C2×#88063 | 2 |
| C2×#88061 | 2 |
| C2×#88059 | 2 |
| #11718662 | 2 |
| #11718656 | 2 |
| #11718146 | 2 |
| #2063 | 13 |