Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
658 conjugacy classes of subgroups; only the 239 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 239 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 |
|---|---|---|
| 171. C11 | #21676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13071921 | 2 |
| #13069337 | 2 |
| #13069178 | 2 |
| #13068481 | 2 |
| #13068477 | 2 |
| #13068303 | 2 |
| C11×#1832 | 2 |
| #21676 | 11 |