Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
618 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 1. #13131365 | C2 | semidirect |
| 4. D13⋊#332 | C2 | semidirect |
| 5. #13129671 | C2 | semidirect |
| 6. #13129671 | C2 | semidirect |
| 23. C13×#486 | C4 | semidirect |
| 24. #11718749 | C4 | semidirect |
| 25. #11718731 | C4 | semidirect |
| 28. #11718355 | C4 | semidirect |
| 230. #486 | #261 | semidirect |
| 406. C13 | #9062 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131365 | 2 |
| #13131003 | 2 |
| D13⋊#332 | 2 |
| #13129671 | 2 |
| D13×#486 | 2 |
| #9062 | 13 |