Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
668 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 151 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. #13127977 | C2 | semidirect |
| 2. #13126636 | C2 | semidirect |
| 3. #13117086 | C2 | semidirect |
| 4. #13116956 | C2 | semidirect |
| 5. #13116913 | C2 | semidirect |
| 6. #13116795 | C2 | semidirect |
| 7. #13116718 | C2 | semidirect |
| 8. C13×#2170 | C2 | semidirect |
| 10. #11719457 | C22 | semidirect |
| 11. C13×#504 | C22 | semidirect |
| 13. #11718803 | C22 | semidirect |
| 15. #11718569 | C22 | semidirect |
| 19. C2×D208 | C22 | semidirect |
| 20. C2×D208 | C22 | semidirect |
| 23. #11718361 | C22 | semidirect |
| 24. #11718356 | C22 | semidirect |
| 25. C13×#364 | C22 | semidirect |
| 26. C13×#350 | C22 | semidirect |
| 27. C4×C13×C16 | C22 | semidirect |
| 28. #11718108 | C22 | semidirect |
| 29. #11718102 | C22 | semidirect |
| 30. #11718098 | C22 | semidirect |
| 58. Dic104 | D4 | semidirect |
| 60. #88040 | D4 | semidirect |
| 65. D208 | D4 | semidirect |
| 110. #2170 | D13 | semidirect |
| 144. #504 | C2×D13 | semidirect |
| 152. #364 | C2×D13 | semidirect |
| 155. #350 | C2×D13 | semidirect |
| 156. C4×C16 | C2×D13 | semidirect |
| 244. C13 | #33858 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127977 | 2 |
| #13126636 | 2 |
| #13117086 | 2 |
| #13116956 | 2 |
| #13116913 | 2 |
| #13116795 | 2 |
| #13116718 | 2 |
| C13×#2170 | 2 |
| #33858 | 13 |