Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
358 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 227. C11 | #13531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622128 | 2 |
| C2×#10622141 | 2 |
| C2×#10622130 | 2 |
| #13069475 | 2 |
| #13068774 | 2 |
| #13066693 | 2 |
| C2×C11×#367 | 2 |
| #13531 | 11 |