Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1154 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 1154 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. #13116586 | C2 | semidirect |
| 4. C2×#11718108 | C2 | semidirect |
| 5. C13×#3407 | C2 | semidirect |
| 15. C2×C13×M32 | C22 | semidirect |
| 17. C2×#88059 | C22 | semidirect |
| 18. #11718109 | C22 | semidirect |
| 19. #11718108 | C22 | semidirect |
| 81. #3407 | D13 | semidirect |
| 116. C2×M32 | C2×D13 | semidirect |
| 194. C13 | #33392 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719457 | 2 |
| #13123447 | 2 |
| #13116586 | 2 |
| C2×#11718108 | 2 |
| C13×#3407 | 2 |
| #33392 | 13 |