Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#11718109 | C2 | semidirect |
| 5. #13115751 | C2 | semidirect |
| 6. #13112940 | C2 | semidirect |
| 7. C13×#1378 | C2 | semidirect |
| 21. C2×Dic104 | C4 | semidirect |
| 22. C2×#88040 | C4 | semidirect |
| 122. #1378 | D13 | semidirect |
| 280. C13 | #13035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| #13123754 | 2 |
| C2×#11718109 | 2 |
| #13116565 | 2 |
| #13115751 | 2 |
| #13112940 | 2 |
| C13×#1378 | 2 |
| #13035 | 13 |