Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13113612 | C2 | semidirect |
| 5. #13112732 | C2 | semidirect |
| 6. #13112694 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 93. #1286 | D13 | semidirect |
| 232. C13 | #10637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114843 | 2 |
| #13114825 | 2 |
| #13113612 | 2 |
| #13113226 | 2 |
| #13112732 | 2 |
| #13112694 | 2 |
| C13×#1286 | 2 |
| #10637 | 13 |