Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
346 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 116 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 |
| 120. #364 | #261 | semidirect |
| 196. C13 | #12659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#364 | 2 |
| #13131051 | 2 |
| C4×#88100 | 2 |
| #13129882 | 2 |
| D13×#364 | 2 |
| #12659 | 13 |