Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
256 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 21. #10622144 | C4 | semidirect |
| 182. C11 | #13175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070411 | 2 |
| C2×#10622151 | 2 |
| #13069406 | 2 |
| #13069396 | 2 |
| #13066720 | 2 |
| #13066715 | 2 |
| C11×#2110 | 2 |
| #13175 | 11 |