Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
602 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 163 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. #13068733 | C2 | semidirect |
| 3. C2×#10622120 | C2 | semidirect |
| 5. C4×C11×C4⋊C8 | C2 | semidirect |
| 87. C4×C4⋊C8 | D11 | semidirect |
| 225. C11 | #9696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13076973 | 2 |
| #13068733 | 2 |
| C2×#10622120 | 2 |
| C2×#10622123 | 2 |
| C4×C11×C4⋊C8 | 2 |
| #9696 | 11 |