Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
318 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 12. C13×#366 | C4 | semidirect |
| 56. C13×C16 | C4⋊C4 | semidirect |
| 91. #366 | Dic13 | semidirect |
| 151. C16 | C4⋊Dic13 | semidirect |
| 152. C13 | #13168 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718097 | 2 |
| C2×#11718094 | 2 |
| #13115570 | 2 |
| #13112927 | 2 |
| C2×C13×#366 | 2 |
| #13168 | 13 |