Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 3. #13131051 | C2 | semidirect |
| 4. #13130657 | C2 | semidirect |
| 5. #13129914 | C2 | semidirect |
| 6. #13129905 | C2 | semidirect |
| 22. #11718281 | C4 | semidirect |
| 26. C13×#362 | C4 | semidirect |
| 27. #11718157 | C4 | semidirect |
| 28. #11718108 | C4 | semidirect |
| 29. #11718087 | C4 | semidirect |
| 171. #362 | #261 | semidirect |
| 284. C13 | #12651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719112 | 2 |
| #13131152 | 2 |
| #13131051 | 2 |
| #13130657 | 2 |
| #13129914 | 2 |
| #13129905 | 2 |
| #13116584 | 2 |
| #12651 | 13 |