Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
712 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 163 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×#11718856 | C2 | semidirect |
| 2. C22×#88040 | C2 | semidirect |
| 4. #13123703 | C2 | semidirect |
| 5. #13116901 | C2 | semidirect |
| 6. #13116875 | C2 | semidirect |
| 7. #13116594 | C2 | semidirect |
| 8. #13116551 | C2 | semidirect |
| 9. C13×#2138 | C2 | semidirect |
| 20. C2×#88069 | C22 | semidirect |
| 23. C2×#88067 | C22 | semidirect |
| 29. #11718534 | C22 | semidirect |
| 31. C13×#358 | C22 | semidirect |
| 32. C13×#357 | C22 | semidirect |
| 33. #11718093 | C22 | semidirect |
| 56. C2×Dic52 | D4 | semidirect |
| 134. #2138 | D13 | semidirect |
| 188. #358 | C2×D13 | semidirect |
| 190. #357 | C2×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×#11718856 | 2 |
| C22×#88040 | 2 |
| #13125323 | 2 |
| #13123703 | 2 |
| #13116901 | 2 |
| #13116875 | 2 |
| #13116594 | 2 |
| #13116551 | 2 |
| C13×#2138 | 2 |
| #33587 | 13 |