Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
908 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 171 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. #13125550 | C2 | semidirect |
| 2. #13125289 | C2 | semidirect |
| 3. #13125211 | C2 | semidirect |
| 4. #13114501 | C2 | semidirect |
| 5. #13114476 | C2 | semidirect |
| 6. #13114461 | C2 | semidirect |
| 7. #13114427 | C2 | semidirect |
| 8. #13113139 | C2 | semidirect |
| 9. C13×#3184 | C2 | semidirect |
| 14. C13×#498 | C22 | semidirect |
| 15. C13×#493 | C22 | semidirect |
| 16. C13×#486 | C22 | semidirect |
| 21. #11718754 | C22 | semidirect |
| 24. #11718739 | C22 | semidirect |
| 25. #11718737 | C22 | semidirect |
| 28. #11718731 | C22 | semidirect |
| 36. #11718047 | C22 | semidirect |
| 37. #11718046 | C22 | semidirect |
| 38. C8×#1055 | C22 | semidirect |
| 123. #3184 | D13 | semidirect |
| 160. #1055 | AGL(1,ℤ/8) | semidirect |
| 166. #498 | C2×D13 | semidirect |
| 170. #493 | C2×D13 | semidirect |
| 179. #486 | C2×D13 | semidirect |
| 294. C13 | #19747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125550 | 2 |
| #13125289 | 2 |
| #13125211 | 2 |
| #13114501 | 2 |
| #13114476 | 2 |
| #13114461 | 2 |
| #13114427 | 2 |
| #13113139 | 2 |
| C13×#3184 | 2 |
| #19747 | 13 |