Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13112952 | C2 | semidirect |
| 4. #13112931 | C2 | semidirect |
| 11. #11718786 | C4 | semidirect |
| 162. C13 | #12877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123447 | 2 |
| #13116450 | 2 |
| #13112952 | 2 |
| #13112931 | 2 |
| C13×#1812 | 2 |
| #12877 | 13 |