Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13116769 | C2 | semidirect |
| 4. #13116105 | C2 | semidirect |
| 6. #13112777 | C2 | semidirect |
| 7. C13×#1350 | C2 | semidirect |
| 114. #1350 | D13 | semidirect |
| 268. C13 | #12169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126298 | 2 |
| #13116769 | 2 |
| #13116755 | 2 |
| #13116105 | 2 |
| #13112850 | 2 |
| #13112777 | 2 |
| C13×#1350 | 2 |
| #12169 | 13 |