Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13116440 | C2 | semidirect |
| 5. #13112923 | C2 | semidirect |
| 6. #13112918 | C2 | semidirect |
| 7. C13×#2150 | C2 | semidirect |
| 96. #2150 | D13 | semidirect |
| 237. C13 | #13129 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116463 | 2 |
| #13116456 | 2 |
| #13116440 | 2 |
| #13114673 | 2 |
| #13112923 | 2 |
| #13112918 | 2 |
| C13×#2150 | 2 |
| #13129 | 13 |