Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
234 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 9. #11718254 | C4 | semidirect |
| 11. C13×C4⋊C16 | C4 | semidirect |
| 14. C4⋊#6090 | C4 | semidirect |
| 82. C4⋊C16 | #261 | semidirect |
| 142. C13 | #7299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88101 | 2 |
| #13130397 | 2 |
| #13116634 | 2 |
| #7299 | 13 |