Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
374 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 2. #13115611 | C2 | semidirect |
| 3. #13113611 | C2 | semidirect |
| 6. #13112711 | C2 | semidirect |
| 7. C13×#1565 | C2 | semidirect |
| 100. #1565 | D13 | semidirect |
| 253. C13 | #10603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115676 | 2 |
| #13115611 | 2 |
| #13113611 | 2 |
| #13113503 | 2 |
| C2×#11718077 | 2 |
| #13112711 | 2 |
| C13×#1565 | 2 |
| #10603 | 13 |