Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
590 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 590 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. C2×#10622129 | C2 | semidirect |
| 3. C2×#10622099 | C2 | semidirect |
| 4. C11×#1846 | C2 | semidirect |
| 14. #10622308 | C4 | semidirect |
| 39. C2×C11⋊C16 | D4 | semidirect |
| 71. #1846 | D11 | semidirect |
| 176. C11 | #13206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622308 | 2 |
| C2×#10622129 | 2 |
| C2×#10622099 | 2 |
| C11×#1846 | 2 |
| #13206 | 11 |