Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
366 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 163 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 |
|---|---|---|
| 14. #10622296 | C4 | semidirect |
| 139. C11 | #13281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622296 | 2 |
| #13068780 | 2 |
| #13066708 | 2 |
| C2×C4×C11×C16 | 2 |
| #13281 | 11 |