Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
410 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13116638 | C2 | semidirect |
| 3. #13113590 | C2 | semidirect |
| 4. #13112880 | C2 | semidirect |
| 5. #13112879 | C2 | semidirect |
| 6. #13112878 | C2 | semidirect |
| 7. C13×#1360 | C2 | semidirect |
| 20. C13×C4⋊C16 | C22 | semidirect |
| 21. C13×#334 | C22 | semidirect |
| 25. C4⋊#6090 | C22 | semidirect |
| 26. #11718049 | C22 | semidirect |
| 122. #1360 | D13 | semidirect |
| 172. C4⋊C16 | C2×D13 | semidirect |
| 177. #334 | C2×D13 | semidirect |
| 292. C13 | #11959 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#495 | 2 |
| #13116638 | 2 |
| #13113590 | 2 |
| #13112880 | 2 |
| #13112879 | 2 |
| #13112878 | 2 |
| C13×#1360 | 2 |
| #11959 | 13 |