Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
262 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 262 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×#108 | C2 | semidirect |
| 3. C2×#66888 | C2 | semidirect |
| 6. C2×#66880 | C2 | semidirect |
| 7. #10622192 | C2 | semidirect |
| 90. C2×#108 | D11 | semidirect |
| 167. C11 | #2052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66962 | 2 |
| C2×C11×#108 | 2 |
| C2×#66888 | 2 |
| #10622746 | 2 |
| #10622723 | 2 |
| C2×#66880 | 2 |
| #10622192 | 2 |
| #2052 | 11 |