Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
198 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 63 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. C2×#66882 | C2 | semidirect |
| 4. C11×#341 | C2 | semidirect |
| 5. #10622192 | C2 | semidirect |
| 54. #341 | D11 | semidirect |
| 98. C11 | #2078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622746 | 2 |
| #10622723 | 2 |
| C2×#66882 | 2 |
| C11×#341 | 2 |
| #10622192 | 2 |
| #2078 | 11 |