| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×C32⋊C6) = C62.13D6 | φ: C2×C32⋊C6/C32⋊C6 → C2 ⊆ Aut C22 | 72 | 12- | C2^2.1(C2xC3^2:C6) | 432,361 |
| C22.2(C2×C32⋊C6) = C62.36D6 | φ: C2×C32⋊C6/C2×He3 → C2 ⊆ Aut C22 | 72 | 6 | C2^2.2(C2xC3^2:C6) | 432,351 |
| C22.3(C2×C32⋊C6) = C4×C32⋊C12 | central extension (φ=1) | 144 | | C2^2.3(C2xC3^2:C6) | 432,138 |
| C22.4(C2×C32⋊C6) = C62.19D6 | central extension (φ=1) | 144 | | C2^2.4(C2xC3^2:C6) | 432,139 |
| C22.5(C2×C32⋊C6) = C62.20D6 | central extension (φ=1) | 144 | | C2^2.5(C2xC3^2:C6) | 432,140 |
| C22.6(C2×C32⋊C6) = C62.21D6 | central extension (φ=1) | 72 | | C2^2.6(C2xC3^2:C6) | 432,141 |
| C22.7(C2×C32⋊C6) = C62⋊3C12 | central extension (φ=1) | 72 | | C2^2.7(C2xC3^2:C6) | 432,166 |
| C22.8(C2×C32⋊C6) = C2×He3⋊3Q8 | central extension (φ=1) | 144 | | C2^2.8(C2xC3^2:C6) | 432,348 |
| C22.9(C2×C32⋊C6) = C2×C4×C32⋊C6 | central extension (φ=1) | 72 | | C2^2.9(C2xC3^2:C6) | 432,349 |
| C22.10(C2×C32⋊C6) = C2×He3⋊4D4 | central extension (φ=1) | 72 | | C2^2.10(C2xC3^2:C6) | 432,350 |
| C22.11(C2×C32⋊C6) = C22×C32⋊C12 | central extension (φ=1) | 144 | | C2^2.11(C2xC3^2:C6) | 432,376 |