Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
712 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 712 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 |
|---|---|---|
| 1. C2×#11718840 | C2 | semidirect |
| 3. #13123704 | C2 | semidirect |
| 4. #13116896 | C2 | semidirect |
| 5. #13116874 | C2 | semidirect |
| 6. #13116594 | C2 | semidirect |
| 7. #13116552 | C2 | semidirect |
| 8. #13116544 | C2 | semidirect |
| 9. C22×C13×SD32 | C2 | semidirect |
| 21. Q16×Dic13 | C22 | semidirect |
| 22. C2×#88069 | C22 | semidirect |
| 24. C2×#88068 | C22 | semidirect |
| 32. #11718101 | C22 | semidirect |
| 33. #11718095 | C22 | semidirect |
| 34. #11718093 | C22 | semidirect |
| 40. C2×C13×Q16 | D4 | semidirect |
| 127. C22×SD32 | D13 | semidirect |
| 215. C2×Q16 | C22⋊D13 | semidirect |
| 301. C13 | #33587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| #13125317 | 2 |
| #13123704 | 2 |
| #13116896 | 2 |
| #13116874 | 2 |
| #13116594 | 2 |
| #13116552 | 2 |
| #13116544 | 2 |
| C22×C13×SD32 | 2 |
| #33587 | 13 |