Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #13114639 | C2 | semidirect |
| 5. #13114638 | C2 | semidirect |
| 6. #13112965 | C2 | semidirect |
| 7. C13×#1395 | C2 | semidirect |
| 10. C2×#88161 | C4 | semidirect |
| 17. #11718779 | C4 | semidirect |
| 18. #11718771 | C4 | semidirect |
| 19. C2×#88055 | C4 | semidirect |
| 27. #11718070 | C4 | semidirect |
| 28. #11718069 | C4 | semidirect |
| 146. #1395 | D13 | semidirect |
| 344. C13 | #12634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123551 | 2 |
| #13116519 | 2 |
| #13116499 | 2 |
| #13114639 | 2 |
| #13114638 | 2 |
| #13112965 | 2 |
| C13×#1395 | 2 |
| #12634 | 13 |