Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13113498 | C2 | semidirect |
| 3. #13112980 | C2 | semidirect |
| 4. C13×#2126 | C2 | semidirect |
| 5. #11719648 | C4 | semidirect |
| 9. #11718898 | C4 | semidirect |
| 13. #11718722 | C4 | semidirect |
| 17. C13×#353 | C22 | semidirect |
| 19. #11718136 | C22 | semidirect |
| 108. #2126 | D13 | semidirect |
| 165. #353 | C2×D13 | semidirect |
| 279. C13 | #13560 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124184 | 2 |
| #13113498 | 2 |
| #13112980 | 2 |
| C13×#2126 | 2 |
| #13560 | 13 |