| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C24×C7⋊C3 | 112 | C2^4xC7:C3 | 336,220 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(C22×C7⋊C3) = C22×C7⋊A4 | φ: C22×C7⋊C3/C2×C14 → C3 ⊆ Aut C22 | 84 | C2^2:(C2^2xC7:C3) | 336,222 | |
| C22⋊2(C22×C7⋊C3) = C2×D4×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C22 | 56 | C2^2:2(C2^2xC7:C3) | 336,165 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(C22×C7⋊C3) = C4○D4×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C22 | 56 | 6 | C2^2.(C2^2xC7:C3) | 336,167 |
| C22.2(C22×C7⋊C3) = C42×C7⋊C3 | central extension (φ=1) | 112 | C2^2.2(C2^2xC7:C3) | 336,48 | |
| C22.3(C22×C7⋊C3) = C22⋊C4×C7⋊C3 | central extension (φ=1) | 56 | C2^2.3(C2^2xC7:C3) | 336,49 | |
| C22.4(C22×C7⋊C3) = C4⋊C4×C7⋊C3 | central extension (φ=1) | 112 | C2^2.4(C2^2xC7:C3) | 336,50 | |
| C22.5(C22×C7⋊C3) = C22×C4×C7⋊C3 | central extension (φ=1) | 112 | C2^2.5(C2^2xC7:C3) | 336,164 | |
| C22.6(C22×C7⋊C3) = C2×Q8×C7⋊C3 | central extension (φ=1) | 112 | C2^2.6(C2^2xC7:C3) | 336,166 |