Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
784 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13114163 | C2 | semidirect |
| 239. C13 | #19067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129331 | 2 |
| #13126046 | 2 |
| #13114163 | 2 |
| #13113474 | 2 |
| #13113450 | 2 |
| C13×#3162 | 2 |
| #19067 | 13 |