Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
490 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13070896 | C2 | semidirect |
| 3. #13070893 | C2 | semidirect |
| 4. #13070891 | C2 | semidirect |
| 7. C11×#2252 | C2 | semidirect |
| 47. C16×D11 | Q8 | semidirect |
| 78. #2252 | D11 | semidirect |
| 182. C11 | #33726 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13079127 | 2 |
| #13070896 | 2 |
| #13070893 | 2 |
| #13070891 | 2 |
| #13070397 | 2 |
| C4×C16×D11 | 2 |
| C11×#2252 | 2 |
| #33726 | 11 |