Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13116557 | C2 | semidirect |
| 4. #13116555 | C2 | semidirect |
| 6. #13112937 | C2 | semidirect |
| 7. C13×#1384 | C2 | semidirect |
| 22. #11718529 | C4 | semidirect |
| 118. #1384 | D13 | semidirect |
| 274. C13 | #13075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| #13124492 | 2 |
| #13116557 | 2 |
| #13116555 | 2 |
| #13114879 | 2 |
| #13112937 | 2 |
| C13×#1384 | 2 |
| #13075 | 13 |