Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
282 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 35. C2×C8×C11 | Q8 | semidirect |
| 39. C11×C4⋊C4 | Q8 | semidirect |
| 50. C2×C11⋊C8 | Q8 | semidirect |
| 141. C2×C8 | Dic22 | semidirect |
| 150. C4⋊C4 | Dic22 | semidirect |
| 154. C11 | #2057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#66941 | 2 |
| C2×#66882 | 2 |
| #10622598 | 2 |
| C2×#66871 | 2 |
| C11×#340 | 2 |
| #10622188 | 2 |
| #10622167 | 2 |
| #2057 | 11 |