Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
176 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 65 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. #13070891 | C2 | semidirect |
| 3. #13066816 | C2 | semidirect |
| 5. C11×C4⋊C32 | C2 | semidirect |
| 26. D176 | Q8 | semidirect |
| 47. C4⋊C32 | D11 | semidirect |
| 113. C11 | #13703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13070891 | 2 |
| C4×D176 | 2 |
| #13066816 | 2 |
| #13066795 | 2 |
| C11×C4⋊C32 | 2 |
| #13703 | 11 |