Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13125847 | C2 | semidirect |
| 2. #13124844 | C2 | semidirect |
| 3. #13113473 | C2 | semidirect |
| 4. #13113305 | C2 | semidirect |
| 5. #13113177 | C2 | semidirect |
| 6. #13112697 | C2 | semidirect |
| 328. C13 | #10039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125847 | 2 |
| #13124844 | 2 |
| #13113473 | 2 |
| #13113305 | 2 |
| #13113177 | 2 |
| #13112697 | 2 |
| C13×#3109 | 2 |
| #10039 | 13 |