Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
684 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 4. #13114515 | C2 | semidirect |
| 5. #13114479 | C2 | semidirect |
| 6. #13114471 | C2 | semidirect |
| 7. #13114432 | C2 | semidirect |
| 265. C13 | #19751 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125581 | 2 |
| #13125577 | 2 |
| #13125378 | 2 |
| #13114515 | 2 |
| #13114479 | 2 |
| #13114471 | 2 |
| #13114432 | 2 |
| #13113139 | 2 |
| C13×#3139 | 2 |
| #19751 | 13 |