| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C2×A4) = Dic3.A4 | φ: C2×A4/A4 → C2 ⊆ Aut C6 | 48 | 4+ | C6.1(C2xA4) | 144,127 |
| C6.2(C2×A4) = S3×SL2(𝔽3) | φ: C2×A4/A4 → C2 ⊆ Aut C6 | 24 | 4- | C6.2(C2xA4) | 144,128 |
| C6.3(C2×A4) = Dic3×A4 | φ: C2×A4/A4 → C2 ⊆ Aut C6 | 36 | 6- | C6.3(C2xA4) | 144,129 |
| C6.4(C2×A4) = C4×C3.A4 | central extension (φ=1) | 36 | 3 | C6.4(C2xA4) | 144,34 |
| C6.5(C2×A4) = C2×Q8⋊C9 | central extension (φ=1) | 144 | | C6.5(C2xA4) | 144,35 |
| C6.6(C2×A4) = Q8.C18 | central extension (φ=1) | 72 | 2 | C6.6(C2xA4) | 144,36 |
| C6.7(C2×A4) = C22×C3.A4 | central extension (φ=1) | 36 | | C6.7(C2xA4) | 144,110 |
| C6.8(C2×A4) = C12×A4 | central extension (φ=1) | 36 | 3 | C6.8(C2xA4) | 144,155 |
| C6.9(C2×A4) = C6×SL2(𝔽3) | central extension (φ=1) | 48 | | C6.9(C2xA4) | 144,156 |
| C6.10(C2×A4) = C3×C4.A4 | central extension (φ=1) | 48 | 2 | C6.10(C2xA4) | 144,157 |