Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
224 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #13129870 | C2 | semidirect |
| 4. #13129869 | C2 | semidirect |
| 5. #13129868 | C2 | semidirect |
| 6. #13129867 | C2 | semidirect |
| 65. C13×C16 | M16 | semidirect |
| 67. #6090 | M16 | semidirect |
| 170. C16 | #6122 | semidirect |
| 171. C13 | #12025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130398 | 2 |
| #13130393 | 2 |
| #13129870 | 2 |
| #13129869 | 2 |
| #13129868 | 2 |
| #13129867 | 2 |
| M32×Dic13 | 2 |
| #12025 | 13 |