Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
350 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 13. #11718258 | C4 | semidirect |
| 14. #11718257 | C4 | semidirect |
| 16. #11718231 | C4 | semidirect |
| 17. C4×#6092 | C4 | semidirect |
| 18. #11718218 | C4 | semidirect |
| 19. #11718217 | C4 | semidirect |
| 20. #11718216 | C4 | semidirect |
| 21. C16×#261 | C4 | semidirect |
| 22. C13×#347 | C4 | semidirect |
| 23. #11718104 | C4 | semidirect |
| 24. #11718058 | C4 | semidirect |
| 103. #347 | #261 | semidirect |
| 174. C13 | #12542 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131056 | 2 |
| #13131048 | 2 |
| #13131046 | 2 |
| #13130558 | 2 |
| #13116439 | 2 |
| #12542 | 13 |