Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 92 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. #13130594 | C2 | semidirect |
| 4. #13129935 | C2 | semidirect |
| 6. C2×#88238 | C4 | semidirect |
| 10. #11719147 | C4 | semidirect |
| 15. #11719052 | C4 | semidirect |
| 16. C4×D13⋊C8 | C4 | semidirect |
| 18. #11718295 | C4 | semidirect |
| 20. #11718227 | C4 | semidirect |
| 259. C13 | #12633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131558 | 2 |
| #13131128 | 2 |
| #13130594 | 2 |
| #13129935 | 2 |
| #13116498 | 2 |
| #12633 | 13 |