Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
564 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 564 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. #13123747 | C2 | semidirect |
| 2. #13117048 | C2 | semidirect |
| 3. #13117004 | C2 | semidirect |
| 4. #13116909 | C2 | semidirect |
| 5. #13116781 | C2 | semidirect |
| 6. #13116732 | C2 | semidirect |
| 7. #13116648 | C2 | semidirect |
| 8. C13×#3184 | C2 | semidirect |
| 12. C13×#498 | C22 | semidirect |
| 13. C13×#493 | C22 | semidirect |
| 18. C13×#442 | C22 | semidirect |
| 27. #11718155 | C22 | semidirect |
| 30. #11718079 | C22 | semidirect |
| 31. #11718058 | C22 | semidirect |
| 32. #11718055 | C22 | semidirect |
| 108. Dic52 | #41 | semidirect |
| 110. D104 | #41 | semidirect |
| 118. #3184 | D13 | semidirect |
| 162. #498 | C2×D13 | semidirect |
| 163. #493 | C2×D13 | semidirect |
| 172. #442 | C2×D13 | semidirect |
| 286. C13 | #33688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123747 | 2 |
| #13117048 | 2 |
| #13117004 | 2 |
| #13116909 | 2 |
| #13116781 | 2 |
| #13116732 | 2 |
| #13116648 | 2 |
| C13×#3184 | 2 |
| #33688 | 13 |