Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
290 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #13066798 | C2 | semidirect |
| 5. #13066797 | C2 | semidirect |
| 6. #13066796 | C2 | semidirect |
| 7. C11×#1416 | C2 | semidirect |
| 12. D11×Q32 | C4 | semidirect |
| 74. #1416 | D11 | semidirect |
| 167. C11 | #13618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D11×Q32 | 2 |
| C2×#10622085 | 2 |
| #13070397 | 2 |
| #13066798 | 2 |
| #13066797 | 2 |
| #13066796 | 2 |
| C11×#1416 | 2 |
| #13618 | 11 |