Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
180 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. C2×Dic176 | C2 | semidirect |
| 4. #13066808 | C2 | semidirect |
| 5. C11×#1425 | C2 | semidirect |
| 49. #1425 | D11 | semidirect |
| 111. C11 | #13701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic176 | 2 |
| #13070909 | 2 |
| #13070742 | 2 |
| #13066808 | 2 |
| C11×#1425 | 2 |
| #13701 | 11 |