Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1114 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 391 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. C2×#11718801 | C2 | semidirect |
| 2. #13123447 | C2 | semidirect |
| 3. #13116564 | C2 | semidirect |
| 4. C2×#11718159 | C2 | semidirect |
| 16. C2×#88059 | C22 | semidirect |
| 17. C2×#88052 | C22 | semidirect |
| 18. C22×#6090 | C22 | semidirect |
| 19. #11718159 | C22 | semidirect |
| 20. #11718159 | C22 | semidirect |
| 198. C13 | #33385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718801 | 2 |
| #13123447 | 2 |
| #13116564 | 2 |
| C2×#11718159 | 2 |
| C13×#3584 | 2 |
| #33385 | 13 |