Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
214 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 159 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. #13066752 | C2 | semidirect |
| 9. #10622137 | C4 | semidirect |
| 11. C2×C11⋊C32 | C4 | semidirect |
| 96. C11 | #13551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622137 | 2 |
| #13066752 | 2 |
| C11×#2108 | 2 |
| #13551 | 11 |