Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
428 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 4. C2×#11718104 | C2 | semidirect |
| 5. #13114722 | C2 | semidirect |
| 6. #13112952 | C2 | semidirect |
| 7. C13×#1384 | C2 | semidirect |
| 19. #11718530 | C4 | semidirect |
| 20. #11718514 | C4 | semidirect |
| 23. #11718102 | C4 | semidirect |
| 24. #11718080 | C4 | semidirect |
| 46. C2×C13×C16 | C2×C4 | semidirect |
| 50. C13×#106 | C2×C4 | semidirect |
| 52. #88059 | C2×C4 | semidirect |
| 56. #88052 | C2×C4 | semidirect |
| 111. #1384 | D13 | semidirect |
| 195. C2×C16 | C4×D13 | semidirect |
| 201. #106 | C4×D13 | semidirect |
| 255. C13 | #12649 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123636 | 2 |
| #13116571 | 2 |
| #13116565 | 2 |
| C2×#11718104 | 2 |
| #13114722 | 2 |
| #13112952 | 2 |
| C13×#1384 | 2 |
| #12649 | 13 |