Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
686 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 203 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 |
|---|---|---|
| 1. C2×#10622296 | C2 | semidirect |
| 2. #13070857 | C2 | direct (N × H) |
| 3. C2×#10622200 | C2 | semidirect |
| 4. C2×#10622099 | C2 | semidirect |
| 17. #10622296 | C22 | semidirect |
| 18. #10622200 | C22 | semidirect |
| 19. #10622099 | C22 | semidirect |
| 141. C2×C11 | #2244 | semidirect |
| 168. C11 | C2×#2244 | semidirect |
| 200. C2 | #13070857 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622296 | 2 |
| #13070857 | 2 |
| C2×#10622200 | 2 |
| C2×#10622099 | 2 |
| C2×C11×#493 | 2 |
| C2×#2244 | 11 |