Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 69 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×C11×#104 | C2 | semidirect |
| 3. #10622845 | C2 | semidirect |
| 4. #10622746 | C2 | semidirect |
| 5. #10622549 | C2 | semidirect |
| 6. C2×#66869 | C2 | semidirect |
| 7. #10622192 | C2 | semidirect |
| 52. C42×C11 | D4 | semidirect |
| 103. C2×#104 | D11 | semidirect |
| 189. C42 | C22⋊D11 | semidirect |
| 190. C11 | #2040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10623364 | 2 |
| C2×C11×#104 | 2 |
| #10622845 | 2 |
| #10622746 | 2 |
| #10622549 | 2 |
| C2×#66869 | 2 |
| #10622192 | 2 |
| #2040 | 11 |