Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
826 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 826 conjugacy classes of subgroups — too many to draw. Only its 219 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×#10622517 | C2 | semidirect |
| 2. #13079044 | C2 | semidirect |
| 3. #13070887 | C2 | semidirect |
| 4. #13070882 | C2 | semidirect |
| 5. C2×C11×#346 | C2 | semidirect |
| 38. C2×C11×C16 | D4 | semidirect |
| 75. C2×#346 | D11 | semidirect |
| 140. C2×C16 | D44 | semidirect |
| 173. C11 | #33716 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622517 | 2 |
| #13079044 | 2 |
| #13070887 | 2 |
| #13070882 | 2 |
| C2×C11×#346 | 2 |
| #33716 | 11 |