Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13117053 | C2 | semidirect |
| 3. #13117009 | C2 | semidirect |
| 4. #13116914 | C2 | semidirect |
| 6. #13116725 | C2 | semidirect |
| 7. #13116652 | C2 | semidirect |
| 8. C13×#3177 | C2 | semidirect |
| 12. C13×#499 | C22 | semidirect |
| 13. C13×#494 | C22 | semidirect |
| 17. C13×#441 | C22 | semidirect |
| 27. #11718157 | C22 | semidirect |
| 30. #11718079 | C22 | semidirect |
| 31. #11718058 | C22 | semidirect |
| 32. #11718055 | C22 | semidirect |
| 117. #3177 | D13 | semidirect |
| 156. #499 | C2×D13 | semidirect |
| 157. #494 | C2×D13 | semidirect |
| 165. #441 | C2×D13 | semidirect |
| 276. C13 | #33693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123740 | 2 |
| #13117053 | 2 |
| #13117009 | 2 |
| #13116914 | 2 |
| #13116786 | 2 |
| #13116725 | 2 |
| #13116652 | 2 |
| C13×#3177 | 2 |
| #33693 | 13 |