Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1128 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 1128 conjugacy classes of subgroups — too many to draw. Only its 351 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. #13123431 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. C2×#11718110 | C2 | semidirect |
| 5. C13×#3407 | C2 | semidirect |
| 9. #11719458 | C4 | semidirect |
| 10. #11719457 | C4 | semidirect |
| 15. C2×C13×M32 | C22 | semidirect |
| 17. #11718767 | C22 | semidirect |
| 18. C2×#88057 | C22 | semidirect |
| 19. #11718110 | C22 | semidirect |
| 20. #11718110 | C22 | semidirect |
| 38. C2×Dic52 | C2×C4 | semidirect |
| 41. #88158 | C2×C4 | semidirect |
| 43. C2×D104 | C2×C4 | semidirect |
| 89. #3407 | D13 | semidirect |
| 125. C2×M32 | C2×D13 | semidirect |
| 212. C13 | #33388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129610 | 2 |
| #13123431 | 2 |
| #13116573 | 2 |
| C2×#11718110 | 2 |
| C13×#3407 | 2 |
| #33388 | 13 |