| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(C4×A4) = A4×C3⋊C8 | φ: C4×A4/C2×A4 → C2 ⊆ Aut C6 | 72 | 6 | C6.1(C4xA4) | 288,408 |
| C6.2(C4×A4) = Dic3×SL2(𝔽3) | φ: C4×A4/C2×A4 → C2 ⊆ Aut C6 | 96 | | C6.2(C4xA4) | 288,409 |
| C6.3(C4×A4) = SL2(𝔽3).Dic3 | φ: C4×A4/C2×A4 → C2 ⊆ Aut C6 | 96 | 4 | C6.3(C4xA4) | 288,410 |
| C6.4(C4×A4) = C4×Q8⋊C9 | central extension (φ=1) | 288 | | C6.4(C4xA4) | 288,72 |
| C6.5(C4×A4) = C8×C3.A4 | central extension (φ=1) | 72 | 3 | C6.5(C4xA4) | 288,76 |
| C6.6(C4×A4) = Q8.C36 | central extension (φ=1) | 144 | 2 | C6.6(C4xA4) | 288,77 |
| C6.7(C4×A4) = C2×C4×C3.A4 | central extension (φ=1) | 72 | | C6.7(C4xA4) | 288,343 |
| C6.8(C4×A4) = C12×SL2(𝔽3) | central extension (φ=1) | 96 | | C6.8(C4xA4) | 288,633 |
| C6.9(C4×A4) = A4×C24 | central extension (φ=1) | 72 | 3 | C6.9(C4xA4) | 288,637 |
| C6.10(C4×A4) = C3×C8.A4 | central extension (φ=1) | 96 | 2 | C6.10(C4xA4) | 288,638 |