Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
480 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #13123703 | C2 | semidirect |
| 3. C2×#11718109 | C2 | semidirect |
| 5. #13112931 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 17. C2×#88067 | C4 | semidirect |
| 268. C13 | #13018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88067 | 2 |
| #13123703 | 2 |
| C2×#11718109 | 2 |
| #13115747 | 2 |
| #13112931 | 2 |
| #13112926 | 2 |
| C13×#2140 | 2 |
| #13018 | 13 |