Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
198 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 62. C13×C16 | Q16 | semidirect |
| 156. C16 | Dic52 | semidirect |
| 157. C13 | #12459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117118 | 2 |
| C16×Dic26 | 2 |
| #13114241 | 2 |
| #13114231 | 2 |
| #13112895 | 2 |
| #13112892 | 2 |
| C13×#1372 | 2 |
| #12459 | 13 |