Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
230 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 75 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. #10622612 | C2 | semidirect |
| 5. C2×C4×C11⋊C8 | C2 | semidirect |
| 6. C11×#339 | C2 | semidirect |
| 7. #10622196 | C2 | semidirect |
| 16. #66874 | C4 | semidirect |
| 17. #66873 | C4 | semidirect |
| 79. #339 | D11 | semidirect |
| 138. C11 | #1937 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622742 | 2 |
| #10622615 | 2 |
| #10622612 | 2 |
| C2×#66869 | 2 |
| C2×C4×C11⋊C8 | 2 |
| C11×#339 | 2 |
| #10622196 | 2 |
| #1937 | 11 |