Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
306 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 18. #10622471 | C4 | semidirect |
| 19. #10622468 | C4 | semidirect |
| 37. C2×C11×C16 | Q8 | semidirect |
| 50. #66876 | Q8 | semidirect |
| 159. C2×C16 | Dic22 | semidirect |
| 209. C11 | #13291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079148 | 2 |
| #13070220 | 2 |
| #13068739 | 2 |
| #13066732 | 2 |
| #13066721 | 2 |
| #13066715 | 2 |
| C11×#1384 | 2 |
| #13291 | 11 |