Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1114 conjugacy classes of subgroups; only the 340 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 340 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 |
|---|---|---|
| 1. #13131803 | C2 | semidirect |
| 2. C2×#11719162 | C2 | semidirect |
| 3. #13131080 | C2 | semidirect |
| 4. C2×#11718270 | C2 | semidirect |
| 15. C2×#88106 | C22 | semidirect |
| 16. C2×#88106 | C22 | semidirect |
| 17. C22×#6092 | C22 | semidirect |
| 18. #11718270 | C22 | semidirect |
| 19. #11718270 | C22 | semidirect |
| 194. C13 | #33340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131803 | 2 |
| C2×#11719162 | 2 |
| #13131080 | 2 |
| C2×#11718270 | 2 |
| #13129549 | 2 |
| #33340 | 13 |