Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
336 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 87 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. #10622731 | C2 | semidirect |
| 4. C11×#343 | C2 | semidirect |
| 5. #10622168 | C2 | semidirect |
| 68. #343 | D11 | semidirect |
| 84. Dic11 | #100 | semidirect |
| 125. C11 | #1800 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66946 | 2 |
| C2×#66887 | 2 |
| #10622731 | 2 |
| C11×#343 | 2 |
| #10622168 | 2 |
| #1800 | 11 |