Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
272 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 208. C11 | #13491 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622203 | 2 |
| #13070336 | 2 |
| #13068740 | 2 |
| #13066730 | 2 |
| #13066729 | 2 |
| #13066702 | 2 |
| C11×#1979 | 2 |
| #13491 | 11 |