Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
248 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 56 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. #11719054 | C2 | semidirect |
| 3. #11718299 | C2 | semidirect |
| 4. #11718293 | C2 | semidirect |
| 15. #88110 | C22 | semidirect |
| 114. C13 | #1533 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#124 | 2 |
| #11719054 | 2 |
| #11718299 | 2 |
| #11718293 | 2 |
| #1533 | 13 |