Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
454 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 454 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. #13066731 | C2 | semidirect |
| 6. #13066730 | C2 | semidirect |
| 7. C2×C11×#362 | C2 | semidirect |
| 116. C2×#362 | D11 | semidirect |
| 274. C11 | #13078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081718 | 2 |
| #13078267 | 2 |
| C2×#10622203 | 2 |
| #13068663 | 2 |
| #13066731 | 2 |
| #13066730 | 2 |
| C2×C11×#362 | 2 |
| #13078 | 11 |