| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C6.1(A4⋊C4) = C12.S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 72 | 6 | C6.1(A4:C4) | 288,68 |
| C6.2(A4⋊C4) = Q8⋊Dic9 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 288 | | C6.2(A4:C4) | 288,69 |
| C6.3(A4⋊C4) = C12.9S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 72 | 4 | C6.3(A4:C4) | 288,70 |
| C6.4(A4⋊C4) = C2×C6.S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 72 | | C6.4(A4:C4) | 288,341 |
| C6.5(A4⋊C4) = C12.12S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 72 | 6 | C6.5(A4:C4) | 288,402 |
| C6.6(A4⋊C4) = C6.GL2(𝔽3) | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 96 | | C6.6(A4:C4) | 288,403 |
| C6.7(A4⋊C4) = C3⋊U2(𝔽3) | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C6 | 72 | 4 | C6.7(A4:C4) | 288,404 |
| C6.8(A4⋊C4) = C3×A4⋊C8 | central extension (φ=1) | 72 | 3 | C6.8(A4:C4) | 288,398 |
| C6.9(A4⋊C4) = C3×Q8⋊Dic3 | central extension (φ=1) | 96 | | C6.9(A4:C4) | 288,399 |
| C6.10(A4⋊C4) = C3×U2(𝔽3) | central extension (φ=1) | 72 | 2 | C6.10(A4:C4) | 288,400 |