Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
556 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13123902 | C2 | semidirect |
| 3. #13113569 | C2 | semidirect |
| 4. #13113504 | C2 | semidirect |
| 5. #13112727 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#1545 | C2 | semidirect |
| 123. #1545 | D13 | semidirect |
| 307. C13 | #9437 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125286 | 2 |
| #13123902 | 2 |
| #13113569 | 2 |
| #13113504 | 2 |
| #13112727 | 2 |
| #13112725 | 2 |
| C13×#1545 | 2 |
| #9437 | 13 |