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×#103 | C2 | semidirect |
| 3. C2×#66900 | C2 | semidirect |
| 5. C2×#66883 | C2 | semidirect |
| 7. #10622168 | C2 | semidirect |
| 92. C2×#103 | 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×#66995 | 2 |
| C2×C11×#103 | 2 |
| C2×#66900 | 2 |
| #10622723 | 2 |
| C2×#66883 | 2 |
| #10622579 | 2 |
| #10622168 | 2 |
| #2052 | 11 |