Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
170 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 49 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. #11718816 | C2 | semidirect |
| 3. D8×Dic13 | C2 | semidirect |
| 4. C2×#88067 | C2 | semidirect |
| 5. #11718154 | C2 | semidirect |
| 6. #11718095 | C2 | semidirect |
| 7. #11718093 | C2 | semidirect |
| 117. C13 | #2210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×D16 | 2 |
| #11718816 | 2 |
| D8×Dic13 | 2 |
| C2×#88067 | 2 |
| #11718154 | 2 |
| #11718095 | 2 |
| #11718093 | 2 |
| #2210 | 13 |