Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 536 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 |
|---|---|---|
| 1. #13123740 | C2 | semidirect |
| 2. #13117048 | C2 | semidirect |
| 3. #13117009 | C2 | semidirect |
| 4. #13116909 | C2 | semidirect |
| 5. #13116781 | C2 | semidirect |
| 6. #13116732 | C2 | semidirect |
| 7. #13116652 | C2 | semidirect |
| 8. C13×#3176 | C2 | semidirect |
| 12. C13×#499 | C22 | semidirect |
| 13. C13×#493 | C22 | semidirect |
| 17. C13×#442 | C22 | semidirect |
| 27. #11718155 | C22 | semidirect |
| 30. #11718079 | C22 | semidirect |
| 31. #11718058 | C22 | semidirect |
| 32. #11718055 | C22 | semidirect |
| 117. #3176 | D13 | semidirect |
| 159. #499 | C2×D13 | semidirect |
| 160. #493 | C2×D13 | semidirect |
| 168. #442 | C2×D13 | semidirect |
| 282. C13 | #33692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123740 | 2 |
| #13117048 | 2 |
| #13117009 | 2 |
| #13116909 | 2 |
| #13116781 | 2 |
| #13116732 | 2 |
| #13116652 | 2 |
| C13×#3176 | 2 |
| #33692 | 13 |