Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 15. #11718261 | C4 | semidirect |
| 16. #11718233 | C4 | semidirect |
| 19. C13×#364 | C4 | semidirect |
| 20. #11718103 | C4 | semidirect |
| 21. #11718055 | C4 | semidirect |
| 119. #364 | #261 | semidirect |
| 194. C13 | #12656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#364 | 2 |
| M32×#261 | 2 |
| #13130492 | 2 |
| #13129879 | 2 |
| D13×#364 | 2 |
| #12656 | 13 |