Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
164 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 164 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. #10622801 | C2 | semidirect |
| 2. C2×#66892 | C2 | semidirect |
| 3. C2×C16×D11 | C2 | semidirect |
| 5. C11×#358 | C2 | semidirect |
| 6. #10622147 | C2 | semidirect |
| 7. #10622128 | C2 | semidirect |
| 39. C11⋊C16 | D4 | semidirect |
| 63. #358 | D11 | semidirect |
| 71. C2×D11 | SD32 | semidirect |
| 115. C11 | #2217 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10622801 | 2 |
| C2×#66892 | 2 |
| C2×C16×D11 | 2 |
| #10622496 | 2 |
| C11×#358 | 2 |
| #10622147 | 2 |
| #10622128 | 2 |
| #2217 | 11 |