Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
546 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 124 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. #13131729 | C2 | semidirect |
| 3. #13130079 | C2 | semidirect |
| 4. #13129660 | C2 | semidirect |
| 25. C13×#124 | C8 | semidirect |
| 168. #124 | #1057 | semidirect |
| 237. C13 | #9102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131729 | 2 |
| #13130135 | 2 |
| #13130079 | 2 |
| #13129660 | 2 |
| #13117549 | 2 |
| #9102 | 13 |