Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1238 conjugacy classes of subgroups; only the 384 normal subgroups are shown.
This group has 1238 conjugacy classes of subgroups — too many to draw. Only its 384 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 |
|---|---|---|
| 1. #13131729 | C2 | semidirect |
| 2. #13130076 | C2 | semidirect |
| 3. #13130067 | C2 | semidirect |
| 19. C2×C13×#41 | C8 | semidirect |
| 129. C2×#41 | #1057 | semidirect |
| 185. C13 | #17353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131729 | 2 |
| #13130076 | 2 |
| #13130067 | 2 |
| C2×#11719532 | 2 |
| #17353 | 13 |