Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13116510 | C2 | semidirect |
| 4. #13115388 | C2 | semidirect |
| 6. #13112965 | C2 | semidirect |
| 7. C13×#1868 | C2 | semidirect |
| 135. #1868 | D13 | semidirect |
| 323. C13 | #13433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125709 | 2 |
| #13116510 | 2 |
| #13116485 | 2 |
| #13115388 | 2 |
| #13115363 | 2 |
| #13112965 | 2 |
| C13×#1868 | 2 |
| #13433 | 13 |