Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13116772 | C2 | semidirect |
| 4. #13116104 | C2 | semidirect |
| 5. #13112855 | C2 | semidirect |
| 7. C13×#1323 | C2 | semidirect |
| 116. #1323 | 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 |
|---|---|
| #13126297 | 2 |
| #13116772 | 2 |
| #13116755 | 2 |
| #13116104 | 2 |
| #13112855 | 2 |
| #13112852 | 2 |
| C13×#1323 | 2 |
| #12169 | 13 |