Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
276 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 6. C2×C13×C4⋊C4 | C4 | semidirect |
| 11. #88071 | C4 | semidirect |
| 13. C22⋊#1055 | C4 | semidirect |
| 91. C2×C4⋊C4 | Dic13 | semidirect |
| 126. C13 | #1294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#380 | 2 |
| C2×#88071 | 2 |
| C2×C22⋊#1055 | 2 |
| #1294 | 13 |