| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×C4×C7⋊C3 | 112 | C2^2xC4xC7:C3 | 336,164 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4⋊(C22×C7⋊C3) = C2×D4×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C4 | 56 | C4:(C2^2xC7:C3) | 336,165 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C4.1(C22×C7⋊C3) = D8×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C4 | 56 | 6 | C4.1(C2^2xC7:C3) | 336,53 |
| C4.2(C22×C7⋊C3) = SD16×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C4 | 56 | 6 | C4.2(C2^2xC7:C3) | 336,54 |
| C4.3(C22×C7⋊C3) = Q16×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C4 | 112 | 6 | C4.3(C2^2xC7:C3) | 336,55 |
| C4.4(C22×C7⋊C3) = C2×Q8×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C4 | 112 | C4.4(C2^2xC7:C3) | 336,166 | |
| C4.5(C22×C7⋊C3) = C4○D4×C7⋊C3 | φ: C22×C7⋊C3/C2×C7⋊C3 → C2 ⊆ Aut C4 | 56 | 6 | C4.5(C2^2xC7:C3) | 336,167 |
| C4.6(C22×C7⋊C3) = C2×C8×C7⋊C3 | central extension (φ=1) | 112 | C4.6(C2^2xC7:C3) | 336,51 | |
| C4.7(C22×C7⋊C3) = M4(2)×C7⋊C3 | central extension (φ=1) | 56 | 6 | C4.7(C2^2xC7:C3) | 336,52 |