Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
2070 conjugacy classes of subgroups; only the 651 normal subgroups are shown.
This group has 2070 conjugacy classes of subgroups — too many to draw. Only its 651 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 |
|---|---|---|
| 2. #13066881 | C2 | semidirect |
| 7. C2×C11×#95 | C4 | semidirect |
| 34. C22×C4×C11 | C4⋊C4 | semidirect |
| 73. C2×#95 | Dic11 | semidirect |
| 122. C22×C4 | C4⋊Dic11 | semidirect |
| 128. C11 | #14353 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622825 | 2 |
| #13066881 | 2 |
| C22×C11×#95 | 2 |
| #14353 | 11 |