Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
530 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13112714 | C2 | semidirect |
| 4. #13112703 | C2 | semidirect |
| 10. #11718873 | C4 | semidirect |
| 12. C2×#88071 | C4 | semidirect |
| 18. #11718597 | C4 | semidirect |
| 19. C4×C4⋊Dic13 | C4 | semidirect |
| 293. C13 | #8760 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117746 | 2 |
| #13113154 | 2 |
| #13112714 | 2 |
| #13112703 | 2 |
| C13×#1799 | 2 |
| #8760 | 13 |