Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
686 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 159 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. D13×#499 | C2 | semidirect |
| 3. #13117079 | C2 | semidirect |
| 4. #13117078 | C2 | semidirect |
| 5. #13117077 | C2 | semidirect |
| 6. #13117076 | C2 | semidirect |
| 7. D13×#357 | C2 | semidirect |
| 8. D13×#346 | C2 | semidirect |
| 9. C13×#2244 | C2 | semidirect |
| 14. C13×#499 | C22 | semidirect |
| 22. #11718539 | C22 | semidirect |
| 27. #11718344 | C22 | semidirect |
| 28. C13×#357 | C22 | semidirect |
| 29. C13×#346 | C22 | semidirect |
| 30. #11718154 | C22 | semidirect |
| 31. #11718101 | C22 | semidirect |
| 32. #11718094 | C22 | semidirect |
| 33. #11718083 | C22 | semidirect |
| 34. #11718053 | C22 | semidirect |
| 115. #2244 | D13 | direct (N × H) |
| 154. #499 | C2×D13 | semidirect |
| 166. #357 | C2×D13 | semidirect |
| 169. #346 | C2×D13 | semidirect |
| 225. D13 | #2244 | direct (N × H) |
| 263. C13 | C2×#2244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#499 | 2 |
| D13×#493 | 2 |
| #13117079 | 2 |
| #13117078 | 2 |
| #13117077 | 2 |
| #13117076 | 2 |
| D13×#357 | 2 |
| D13×#346 | 2 |
| C13×#2244 | 2 |
| C2×#2244 | 13 |