Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
426 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 426 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 |
|---|---|---|
| 2. C2×#10622131 | C2 | semidirect |
| 3. C2×#10622148 | C2 | semidirect |
| 4. C2×C16×Dic11 | C2 | semidirect |
| 5. #13069505 | C2 | semidirect |
| 6. #13069502 | C2 | semidirect |
| 7. C2×C11×#359 | C2 | semidirect |
| 16. C2×#66893 | C4 | semidirect |
| 17. C2×#66892 | C4 | semidirect |
| 18. C2×#66891 | C4 | semidirect |
| 19. C2×#66890 | C4 | semidirect |
| 125. C2×#359 | D11 | semidirect |
| 299. C11 | #13241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622807 | 2 |
| C2×#10622131 | 2 |
| C2×#10622148 | 2 |
| C2×C16×Dic11 | 2 |
| #13069505 | 2 |
| #13069502 | 2 |
| C2×C11×#359 | 2 |
| #13241 | 11 |