Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
188 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 188 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 154. C11 | #12461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070889 | 2 |
| #13070525 | 2 |
| #13068020 | 2 |
| #13066689 | 2 |
| #13066675 | 2 |
| #13066674 | 2 |
| C11×#1676 | 2 |
| #12461 | 11 |