Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
242 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 98 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. #13129870 | C2 | semidirect |
| 3. #13129869 | C2 | semidirect |
| 49. C13×C16 | M16 | semidirect |
| 51. #6090 | M16 | semidirect |
| 133. C16 | #6122 | semidirect |
| 134. C13 | #12023 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130393 | 2 |
| #13129870 | 2 |
| #13129869 | 2 |
| C2×C16×Dic13 | 2 |
| #12023 | 13 |