Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13129866 | C2 | semidirect |
| 4. #13129865 | C2 | semidirect |
| 5. #13129859 | C2 | semidirect |
| 6. #13129858 | C2 | semidirect |
| 167. C13 | #12016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131200 | 2 |
| D13⋊(C4⋊C16) | 2 |
| #13129866 | 2 |
| #13129865 | 2 |
| #13129859 | 2 |
| #13129858 | 2 |
| #13113115 | 2 |
| #12016 | 13 |