Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
542 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13123213 | C2 | semidirect |
| 5. #13113522 | C2 | semidirect |
| 6. #13112668 | C2 | semidirect |
| 7. C13×#1546 | C2 | semidirect |
| 121. #1546 | D13 | semidirect |
| 288. C13 | #10286 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125966 | 2 |
| #13125957 | 2 |
| #13123213 | 2 |
| #13115663 | 2 |
| #13113522 | 2 |
| #13112668 | 2 |
| C13×#1546 | 2 |
| #10286 | 13 |