Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
118 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 118 conjugacy classes of subgroups — too many to draw. Only its 47 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. #13066750 | C2 | semidirect |
| 3. C11×#1373 | C2 | semidirect |
| 40. #1373 | D11 | semidirect |
| 94. C11 | #7388 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070498 | 2 |
| #13066750 | 2 |
| C11×#1373 | 2 |
| #7388 | 11 |