Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
526 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 3. #13068775 | C2 | semidirect |
| 4. C11⋊#1273 | C2 | semidirect |
| 5. C11×#1845 | C2 | semidirect |
| 66. #1845 | D11 | semidirect |
| 171. C11 | #10673 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13069422 | 2 |
| #13069421 | 2 |
| #13068775 | 2 |
| C11⋊#1273 | 2 |
| C11×#1845 | 2 |
| #10673 | 11 |