Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13114636 | C2 | semidirect |
| 3. #13112959 | C2 | semidirect |
| 4. #13112957 | C2 | semidirect |
| 7. C22×C13×M16 | C4 | semidirect |
| 11. C13×#424 | C4 | semidirect |
| 13. C13×#407 | C4 | semidirect |
| 14. C13×#405 | C4 | semidirect |
| 19. #11718131 | C4 | semidirect |
| 20. #11718128 | C4 | semidirect |
| 128. C22×M16 | Dic13 | semidirect |
| 132. #424 | Dic13 | semidirect |
| 136. #407 | Dic13 | semidirect |
| 138. #405 | Dic13 | semidirect |
| 234. C13 | #12624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116477 | 2 |
| #13114636 | 2 |
| #13112959 | 2 |
| #13112957 | 2 |
| C13×#2930 | 2 |
| #12624 | 13 |