Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
356 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 157 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. #11718740 | C2 | semidirect |
| 4. #11718739 | C2 | semidirect |
| 5. #11718725 | C2 | semidirect |
| 42. C2×#1055 | Q8 | semidirect |
| 115. C13 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#533 | 2 |
| #11719175 | 2 |
| #11718740 | 2 |
| #11718739 | 2 |
| #11718725 | 2 |
| #11718659 | 2 |
| C2×C4×#1055 | 2 |
| #3160 | 13 |