| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C2×C3⋊S3) = C12.D6 | φ: C2×C3⋊S3/C3⋊S3 → C2 ⊆ Aut C22 | 72 | | C2^2.1(C2xC3:S3) | 144,173 |
| C22.2(C2×C3⋊S3) = C12.59D6 | φ: C2×C3⋊S3/C3×C6 → C2 ⊆ Aut C22 | 72 | | C2^2.2(C2xC3:S3) | 144,171 |
| C22.3(C2×C3⋊S3) = C4×C3⋊Dic3 | central extension (φ=1) | 144 | | C2^2.3(C2xC3:S3) | 144,92 |
| C22.4(C2×C3⋊S3) = C6.Dic6 | central extension (φ=1) | 144 | | C2^2.4(C2xC3:S3) | 144,93 |
| C22.5(C2×C3⋊S3) = C12⋊Dic3 | central extension (φ=1) | 144 | | C2^2.5(C2xC3:S3) | 144,94 |
| C22.6(C2×C3⋊S3) = C6.11D12 | central extension (φ=1) | 72 | | C2^2.6(C2xC3:S3) | 144,95 |
| C22.7(C2×C3⋊S3) = C62⋊5C4 | central extension (φ=1) | 72 | | C2^2.7(C2xC3:S3) | 144,100 |
| C22.8(C2×C3⋊S3) = C2×C32⋊4Q8 | central extension (φ=1) | 144 | | C2^2.8(C2xC3:S3) | 144,168 |
| C22.9(C2×C3⋊S3) = C2×C4×C3⋊S3 | central extension (φ=1) | 72 | | C2^2.9(C2xC3:S3) | 144,169 |
| C22.10(C2×C3⋊S3) = C2×C12⋊S3 | central extension (φ=1) | 72 | | C2^2.10(C2xC3:S3) | 144,170 |
| C22.11(C2×C3⋊S3) = C22×C3⋊Dic3 | central extension (φ=1) | 144 | | C2^2.11(C2xC3:S3) | 144,176 |