Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 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 |
|---|---|---|
| 4. #11718492 | C2 | semidirect |
| 5. #11718489 | C2 | semidirect |
| 8. #11718362 | C2 | semidirect |
| 9. #11718340 | C2 | semidirect |
| 151. C13 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719222 | 2 |
| C13×#433 | 2 |
| #11718661 | 2 |
| #11718492 | 2 |
| #11718489 | 2 |
| #11718381 | 2 |
| #11718380 | 2 |
| #11718362 | 2 |
| #11718340 | 2 |
| #2987 | 13 |