Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
716 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 171 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. #13125325 | C2 | semidirect |
| 3. #13123688 | C2 | semidirect |
| 4. #13116893 | C2 | semidirect |
| 5. #13116879 | C2 | semidirect |
| 6. #13116594 | C2 | semidirect |
| 7. #13116556 | C2 | semidirect |
| 8. #13116544 | C2 | semidirect |
| 9. C22×C13×SD32 | C2 | semidirect |
| 20. #11718852 | C22 | semidirect |
| 22. #11718842 | C22 | semidirect |
| 31. #11718156 | C22 | semidirect |
| 32. #11718101 | C22 | semidirect |
| 33. #11718095 | C22 | semidirect |
| 34. #11718093 | C22 | semidirect |
| 127. C22×SD32 | D13 | semidirect |
| 301. C13 | #33586 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13125325 | 2 |
| #13123688 | 2 |
| #13116893 | 2 |
| #13116879 | 2 |
| #13116594 | 2 |
| #13116556 | 2 |
| #13116544 | 2 |
| C22×C13×SD32 | 2 |
| #33586 | 13 |