Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
456 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. C2×#10622134 | C2 | semidirect |
| 4. #13069531 | C2 | semidirect |
| 5. #13066719 | C2 | semidirect |
| 6. #13066702 | C2 | semidirect |
| 18. C2×#66893 | C4 | semidirect |
| 19. C2×#66891 | C4 | semidirect |
| 280. C11 | #13035 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622808 | 2 |
| C2×#10622134 | 2 |
| #13070344 | 2 |
| #13069531 | 2 |
| #13066719 | 2 |
| #13066702 | 2 |
| C11×#2957 | 2 |
| #13035 | 11 |