Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
166 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 51 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. #11718842 | C2 | semidirect |
| 5. #11718156 | C2 | semidirect |
| 6. #11718095 | C2 | semidirect |
| 7. #11718093 | C2 | semidirect |
| 76. Dic13 | SD32 | semidirect |
| 114. C13 | #2208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×SD32 | 2 |
| #11718842 | 2 |
| D8×Dic13 | 2 |
| C2×#88067 | 2 |
| #11718156 | 2 |
| #11718095 | 2 |
| #11718093 | 2 |
| #2208 | 13 |