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. #11718262 | C4 | semidirect |
| 15. #11718232 | C4 | semidirect |
| 16. #11718218 | C4 | semidirect |
| 17. #11718217 | C4 | semidirect |
| 18. #11718216 | C4 | semidirect |
| 19. C16×#261 | C4 | semidirect |
| 20. C4×C13×C16 | C4 | semidirect |
| 21. #11718094 | C4 | semidirect |
| 22. C16×Dic13 | C4 | semidirect |
| 23. #11718053 | C4 | semidirect |
| 105. C4×C16 | #261 | semidirect |
| 168. C13 | #12542 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131058 | 2 |
| #13131055 | 2 |
| #13131044 | 2 |
| #13130557 | 2 |
| #13116431 | 2 |
| #12542 | 13 |