Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
436 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 2. #13130493 | C2 | semidirect |
| 4. #13130047 | C2 | semidirect |
| 5. #13129731 | C2 | semidirect |
| 6. #13129724 | C2 | semidirect |
| 9. #11719145 | C4 | semidirect |
| 12. D4×#1057 | C4 | semidirect |
| 19. #11719080 | C4 | semidirect |
| 20. #11719074 | C4 | semidirect |
| 25. #11718293 | C4 | semidirect |
| 28. #11718242 | C4 | semidirect |
| 310. C13 | #8249 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131649 | 2 |
| #13130493 | 2 |
| #13130287 | 2 |
| #13130047 | 2 |
| #13129731 | 2 |
| #13129724 | 2 |
| #13113319 | 2 |
| #8249 | 13 |