| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C23×C7⋊C3 | 56 | C2^3xC7:C3 | 168,51 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(C2×C7⋊C3) = C2×C7⋊A4 | φ: C2×C7⋊C3/C14 → C3 ⊆ Aut C22 | 42 | 3 | C2^2:(C2xC7:C3) | 168,53 |
| C22⋊2(C2×C7⋊C3) = D4×C7⋊C3 | φ: C2×C7⋊C3/C7⋊C3 → C2 ⊆ Aut C22 | 28 | 6 | C2^2:2(C2xC7:C3) | 168,20 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(C2×C7⋊C3) = C2×C4×C7⋊C3 | central extension (φ=1) | 56 | C2^2.(C2xC7:C3) | 168,19 |