Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
784 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 784 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 |
|---|---|---|
| 3. #13112954 | C2 | semidirect |
| 6. C22×C13×C22⋊C4 | C4 | semidirect |
| 7. C22×C13×C22⋊C4 | C4 | semidirect |
| 10. C13×#386 | C4 | semidirect |
| 159. C22×C22⋊C4 | Dic13 | semidirect |
| 160. C22×C22⋊C4 | Dic13 | semidirect |
| 168. #386 | Dic13 | semidirect |
| 294. C13 | #12854 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114757 | 2 |
| #13114751 | 2 |
| #13112954 | 2 |
| C13×#2308 | 2 |
| #12854 | 13 |