Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
314 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 93 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. #11719517 | C2 | semidirect |
| 4. C2×#88076 | C2 | semidirect |
| 5. #11718123 | C2 | semidirect |
| 8. C13×C4⋊Q8 | C4 | semidirect |
| 9. C13×#124 | C4 | semidirect |
| 85. C4⋊Q8 | Dic13 | semidirect |
| 86. #124 | Dic13 | semidirect |
| 125. C13 | #1912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#536 | 2 |
| #11719517 | 2 |
| #11718897 | 2 |
| C2×#88076 | 2 |
| #11718123 | 2 |
| #1912 | 13 |