Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
346 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 346 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. #10622149 | C4 | semidirect |
| 163. C11 | #12659 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622149 | 2 |
| C2×#10622104 | 2 |
| #97×Dic11 | 2 |
| #13066699 | 2 |
| C2×C11×#347 | 2 |
| #12659 | 11 |