Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11718898 | C2 | semidirect |
| 3. #11718134 | C2 | semidirect |
| 12. #88076 | C22 | semidirect |
| 100. C13 | #2134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#535 | 2 |
| #11718898 | 2 |
| #11718134 | 2 |
| #2134 | 13 |