Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
226 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. C22×Dic44 | C2 | semidirect |
| 3. C2×#66864 | C2 | semidirect |
| 4. C11×C22⋊C16 | C2 | semidirect |
| 5. #10622141 | C2 | semidirect |
| 32. Dic44 | D4 | semidirect |
| 57. C22⋊C16 | D11 | semidirect |
| 60. C22×C11 | SD32 | semidirect |
| 104. C11 | #2185 | semidirect |
| 127. C22 | #66864 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic44 | 2 |
| #10622728 | 2 |
| C2×#66864 | 2 |
| C11×C22⋊C16 | 2 |
| #10622141 | 2 |
| #2185 | 11 |