| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C7⋊C3 | 56 | C2^3xC7:C3 | 168,51 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C22×C7⋊C3) = C2×C4×C7⋊C3 | central extension (φ=1) | 56 | C2.1(C2^2xC7:C3) | 168,19 | |
| C2.2(C22×C7⋊C3) = D4×C7⋊C3 | central stem extension (φ=1) | 28 | 6 | C2.2(C2^2xC7:C3) | 168,20 |
| C2.3(C22×C7⋊C3) = Q8×C7⋊C3 | central stem extension (φ=1) | 56 | 6 | C2.3(C2^2xC7:C3) | 168,21 |