Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
418 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 111 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. #10622312 | C4 | semidirect |
| 18. #10622295 | C4 | semidirect |
| 19. #10622294 | C4 | semidirect |
| 219. C11 | #9763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079202 | 2 |
| #13067379 | 2 |
| #13067230 | 2 |
| #13067127 | 2 |
| C11×#1726 | 2 |
| #9763 | 11 |