Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13113601 | C2 | semidirect |
| 5. #13112735 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#1838 | C2 | semidirect |
| 115. #1838 | D13 | semidirect |
| 278. C13 | #8917 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124003 | 2 |
| #13113601 | 2 |
| #13113422 | 2 |
| #13113299 | 2 |
| #13112735 | 2 |
| #13112725 | 2 |
| C13×#1838 | 2 |
| #8917 | 13 |