Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1188 conjugacy classes of subgroups; only the 311 normal subgroups are shown.
This group has 1188 conjugacy classes of subgroups — too many to draw. Only its 311 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. #13123300 | C2 | semidirect |
| 2. #13116511 | C2 | semidirect |
| 3. #13116501 | C2 | semidirect |
| 5. C2×C13×2−1+4 | C4 | semidirect |
| 9. C13×#536 | C4 | semidirect |
| 12. C2×C13×C4⋊Q8 | C4 | semidirect |
| 13. C4×C13×#41 | C4 | semidirect |
| 121. C2×2−1+4 | Dic13 | semidirect |
| 125. #536 | Dic13 | semidirect |
| 128. C2×C4⋊Q8 | Dic13 | semidirect |
| 130. C4×#41 | Dic13 | semidirect |
| 224. C13 | #33360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123300 | 2 |
| #13116511 | 2 |
| #13116501 | 2 |
| C13×#3499 | 2 |
| #33360 | 13 |