Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
350 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 350 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. C2×#11718104 | C2 | semidirect |
| 4. #13115587 | C2 | semidirect |
| 5. #13112942 | C2 | semidirect |
| 6. #13112936 | C2 | semidirect |
| 19. #11718154 | C4 | semidirect |
| 224. C13 | #13155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116552 | 2 |
| C2×#11718104 | 2 |
| #13115713 | 2 |
| #13115587 | 2 |
| #13112942 | 2 |
| #13112936 | 2 |
| C2×C13×#361 | 2 |
| #13155 | 13 |