Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
160 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 49 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. C2×C11×SD32 | C2 | semidirect |
| 2. #10622801 | C2 | semidirect |
| 4. C2×#66862 | C2 | semidirect |
| 5. #10622202 | C2 | semidirect |
| 6. #10622200 | C2 | semidirect |
| 7. #10622142 | C2 | semidirect |
| 38. C11×C16 | D4 | semidirect |
| 58. C2×SD32 | D11 | semidirect |
| 114. C16 | C22⋊D11 | semidirect |
| 115. C11 | #2220 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×SD32 | 2 |
| #10622801 | 2 |
| #10622770 | 2 |
| C2×#66862 | 2 |
| #10622202 | 2 |
| #10622200 | 2 |
| #10622142 | 2 |
| #2220 | 11 |