Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
778 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13126648 | C2 | semidirect |
| 2. #13126435 | C2 | semidirect |
| 3. #13114298 | C2 | semidirect |
| 4. #13114270 | C2 | semidirect |
| 5. #13114068 | C2 | semidirect |
| 6. #13113888 | C2 | semidirect |
| 7. #13113722 | C2 | semidirect |
| 8. C8×D104 | C2 | semidirect |
| 9. C13×#1706 | C2 | semidirect |
| 12. #11719422 | C22 | semidirect |
| 13. C13×#500 | C22 | semidirect |
| 15. C13×#492 | C22 | semidirect |
| 16. C13×#486 | C22 | semidirect |
| 20. #11718748 | C22 | semidirect |
| 21. #11718744 | C22 | semidirect |
| 30. #11718349 | C22 | semidirect |
| 31. C8×D52 | C22 | semidirect |
| 32. C82×C13 | C22 | semidirect |
| 33. #11718139 | C22 | semidirect |
| 34. #11718136 | C22 | semidirect |
| 35. #11718051 | C22 | semidirect |
| 36. #11718051 | C22 | semidirect |
| 37. #11718050 | C22 | semidirect |
| 38. #11718050 | C22 | semidirect |
| 127. D104 | D8 | semidirect |
| 132. #1706 | D13 | semidirect |
| 180. #500 | C2×D13 | semidirect |
| 182. #492 | C2×D13 | semidirect |
| 183. #486 | C2×D13 | semidirect |
| 205. C82 | C2×D13 | semidirect |
| 321. C13 | #19884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126648 | 2 |
| #13126435 | 2 |
| #13114298 | 2 |
| #13114270 | 2 |
| #13114068 | 2 |
| #13113888 | 2 |
| #13113722 | 2 |
| C8×D104 | 2 |
| C13×#1706 | 2 |
| #19884 | 13 |