Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
282 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 20. #10622128 | C4 | semidirect |
| 21. #10622127 | C4 | semidirect |
| 79. C11⋊C16 | C4⋊C4 | semidirect |
| 201. C11 | #13174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070405 | 2 |
| C2×#10622125 | 2 |
| C2×#10622150 | 2 |
| #13069370 | 2 |
| #13069352 | 2 |
| #13066725 | 2 |
| C11×#1386 | 2 |
| #13174 | 11 |