Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
334 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 16. Dic11⋊C16 | C4 | semidirect |
| 161. C11 | #12657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070371 | 2 |
| C2×#10622104 | 2 |
| #13068304 | 2 |
| #13066695 | 2 |
| C2×C11×#347 | 2 |
| #12657 | 11 |