Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
536 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 97 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. C13×#410 | C2 | semidirect |
| 3. #11718898 | C2 | semidirect |
| 4. #11718666 | C2 | semidirect |
| 5. #11718665 | C2 | semidirect |
| 12. C2×#6127 | C4 | semidirect |
| 14. C22×Dic26 | C4 | semidirect |
| 94. #410 | D13 | semidirect |
| 166. C13 | #1796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88257 | 2 |
| C13×#410 | 2 |
| #11718898 | 2 |
| #11718666 | 2 |
| #11718665 | 2 |
| #1796 | 13 |