Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1082 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 1082 conjugacy classes of subgroups — too many to draw. Only its 163 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. #13129241 | C2 | semidirect |
| 2. #13126214 | C2 | semidirect |
| 3. #13113979 | C2 | semidirect |
| 4. #13113950 | C2 | semidirect |
| 5. #13113917 | C2 | semidirect |
| 6. #13113888 | C2 | semidirect |
| 7. #13113571 | C2 | semidirect |
| 8. #13113288 | C2 | semidirect |
| 9. C13×#3147 | C2 | semidirect |
| 12. C13×#532 | C22 | semidirect |
| 22. C13×#494 | C22 | semidirect |
| 25. C13×#492 | C22 | semidirect |
| 26. C2×C4×C8×C13 | C22 | semidirect |
| 27. #11718745 | C22 | semidirect |
| 28. #11718733 | C22 | semidirect |
| 32. #11718585 | C22 | semidirect |
| 33. #11718138 | C22 | semidirect |
| 35. #11718051 | C22 | semidirect |
| 36. #11718051 | C22 | semidirect |
| 142. #3147 | D13 | semidirect |
| 200. #532 | C2×D13 | semidirect |
| 202. #494 | C2×D13 | semidirect |
| 205. #492 | C2×D13 | semidirect |
| 212. C2×C4×C8 | C2×D13 | semidirect |
| 344. C13 | #18686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129241 | 2 |
| #13126214 | 2 |
| #13113979 | 2 |
| #13113950 | 2 |
| #13113917 | 2 |
| #13113888 | 2 |
| #13113571 | 2 |
| #13113288 | 2 |
| C13×#3147 | 2 |
| #18686 | 13 |