Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 13. #11718255 | C4 | semidirect |
| 14. #11718254 | C4 | semidirect |
| 17. C13×#334 | C4 | semidirect |
| 18. #11718071 | C4 | semidirect |
| 19. #11718049 | C4 | semidirect |
| 105. #334 | #261 | semidirect |
| 170. C13 | #8269 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88100 | 2 |
| #13130386 | 2 |
| #13130052 | 2 |
| #13129663 | 2 |
| #13113581 | 2 |
| #8269 | 13 |