Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
256 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 81 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×#66882 | C2 | semidirect |
| 4. C11×#340 | C2 | semidirect |
| 5. #10622167 | C2 | semidirect |
| 61. #340 | D11 | semidirect |
| 111. C11 | #2075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×(C2×D11)⋊C8 | 2 |
| C2×#66882 | 2 |
| #10622600 | 2 |
| C11×#340 | 2 |
| #10622167 | 2 |
| #2075 | 11 |