Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1114 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 1114 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. #13123447 | C2 | semidirect |
| 3. #13116565 | C2 | semidirect |
| 4. C2×#11718102 | C2 | semidirect |
| 5. C2×C13×#504 | C2 | semidirect |
| 15. C2×C13×M32 | C22 | semidirect |
| 16. C22×C13×C16 | C22 | semidirect |
| 18. C2×#88059 | C22 | semidirect |
| 19. #11718102 | C22 | semidirect |
| 20. #11718102 | C22 | semidirect |
| 84. C2×#504 | D13 | semidirect |
| 118. C2×M32 | C2×D13 | semidirect |
| 119. C22×C16 | C2×D13 | semidirect |
| 198. C13 | #33385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129610 | 2 |
| #13123447 | 2 |
| #13116565 | 2 |
| C2×#11718102 | 2 |
| C2×C13×#504 | 2 |
| #33385 | 13 |