Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
338 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13068789 | C2 | semidirect |
| 4. #13066716 | C2 | semidirect |
| 5. #13066715 | C2 | semidirect |
| 6. #13066699 | C2 | semidirect |
| 223. C11 | #13487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622201 | 2 |
| #13069493 | 2 |
| #13068789 | 2 |
| #13066716 | 2 |
| #13066715 | 2 |
| #13066699 | 2 |
| C2×C11×#361 | 2 |
| #13487 | 11 |