Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
524 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 3. #11718890 | C2 | semidirect |
| 5. #11718644 | C2 | semidirect |
| 6. #11718641 | C2 | semidirect |
| 7. #11718640 | C2 | semidirect |
| 38. C22×Dic13 | Q8 | semidirect |
| 154. C13 | #2659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×C22⋊Q8 | 2 |
| C2×#88178 | 2 |
| #11718890 | 2 |
| C2×#88071 | 2 |
| #11718644 | 2 |
| #11718641 | 2 |
| #11718640 | 2 |
| #11718603 | 2 |
| #2659 | 13 |