Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
472 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. C2×#10622203 | C2 | semidirect |
| 5. #13066714 | C2 | semidirect |
| 6. #13066696 | C2 | semidirect |
| 7. C11×#1971 | C2 | semidirect |
| 15. C2×#66893 | C4 | semidirect |
| 18. C2×#66892 | C4 | semidirect |
| 121. #1971 | D11 | semidirect |
| 285. C11 | #13039 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622792 | 2 |
| C2×#10622330 | 2 |
| C2×#10622203 | 2 |
| C2×#10622126 | 2 |
| #13066714 | 2 |
| #13066696 | 2 |
| C11×#1971 | 2 |
| #13039 | 11 |