Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13112715 | C2 | semidirect |
| 4. #13112703 | C2 | semidirect |
| 10. C13×#383 | C4 | semidirect |
| 11. C13×#381 | C4 | semidirect |
| 14. C4×C13×C22⋊C4 | C4 | semidirect |
| 15. C13×#376 | C4 | semidirect |
| 157. #383 | Dic13 | semidirect |
| 158. #381 | Dic13 | semidirect |
| 162. C4×C22⋊C4 | Dic13 | semidirect |
| 163. #376 | Dic13 | semidirect |
| 278. C13 | #8762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114824 | 2 |
| #13113154 | 2 |
| #13112715 | 2 |
| #13112703 | 2 |
| C13×#2353 | 2 |
| #8762 | 13 |