Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
384 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 165 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. #10622678 | C2 | direct (N × H) |
| 42. C2×C11⋊C8 | Q8 | semidirect |
| 60. C11⋊C8 | C2×Q8 | semidirect |
| 94. C2×C11 | #501 | semidirect |
| 119. C11 | C2×#501 | semidirect |
| 147. C2 | #10622678 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#125 | 2 |
| C2×#66922 | 2 |
| #10622678 | 2 |
| C2×#66872 | 2 |
| C2×#66871 | 2 |
| C2×#66867 | 2 |
| C2×#501 | 11 |