Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13127973 | C2 | semidirect |
| 2. #13117149 | C2 | semidirect |
| 3. #13117147 | C2 | semidirect |
| 4. #13117145 | C2 | semidirect |
| 5. #13117142 | C2 | semidirect |
| 6. D13×D32 | C2 | semidirect |
| 7. #13117129 | C2 | semidirect |
| 8. C2×C13×D32 | C2 | semidirect |
| 10. C2×C13×D16 | C22 | semidirect |
| 12. #11718573 | C22 | semidirect |
| 14. D13×D16 | C22 | semidirect |
| 15. #11718565 | C22 | semidirect |
| 17. C13×D32 | C22 | semidirect |
| 18. C13×D32 | C22 | semidirect |
| 19. C2×C13×C32 | C22 | semidirect |
| 20. #11718112 | C22 | semidirect |
| 21. #11718111 | C22 | semidirect |
| 22. #11718091 | C22 | semidirect |
| 23. Dic208 | C22 | semidirect |
| 24. #11718041 | C22 | semidirect |
| 25. D416 | C22 | semidirect |
| 26. #11718039 | C22 | semidirect |
| 27. D13×C32 | C22 | semidirect |
| 79. C2×D32 | D13 | semidirect |
| 106. C2×D16 | C2×D13 | semidirect |
| 113. D32 | C2×D13 | semidirect |
| 114. D32 | C2×D13 | semidirect |
| 118. C2×C32 | C2×D13 | semidirect |
| 178. C13 | #33982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127973 | 2 |
| #13117149 | 2 |
| #13117147 | 2 |
| #13117145 | 2 |
| #13117142 | 2 |
| D13×D32 | 2 |
| #13117129 | 2 |
| C2×C13×D32 | 2 |
| #33982 | 13 |