Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
322 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 117 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. #11718751 | C2 | semidirect |
| 4. #11718724 | C2 | semidirect |
| 7. #11718692 | C2 | semidirect |
| 8. #11718683 | C2 | semidirect |
| 156. C13 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#541 | 2 |
| #11719223 | 2 |
| #11718751 | 2 |
| #11718724 | 2 |
| #11718713 | 2 |
| #11718712 | 2 |
| #11718692 | 2 |
| #11718683 | 2 |
| #11718660 | 2 |
| #3261 | 13 |