| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C2.1(C6×S4) = C12×S4 | central extension (φ=1) | 36 | 3 | C2.1(C6xS4) | 288,897 |
| C2.2(C6×S4) = C6×A4⋊C4 | central extension (φ=1) | 72 | | C2.2(C6xS4) | 288,905 |
| C2.3(C6×S4) = C3×A4⋊Q8 | central stem extension (φ=1) | 72 | 6 | C2.3(C6xS4) | 288,896 |
| C2.4(C6×S4) = C3×C4⋊S4 | central stem extension (φ=1) | 36 | 6 | C2.4(C6xS4) | 288,898 |
| C2.5(C6×S4) = C6×CSU2(𝔽3) | central stem extension (φ=1) | 96 | | C2.5(C6xS4) | 288,899 |
| C2.6(C6×S4) = C6×GL2(𝔽3) | central stem extension (φ=1) | 48 | | C2.6(C6xS4) | 288,900 |
| C2.7(C6×S4) = C3×Q8.D6 | central stem extension (φ=1) | 48 | 4 | C2.7(C6xS4) | 288,901 |
| C2.8(C6×S4) = C3×C4.S4 | central stem extension (φ=1) | 96 | 4 | C2.8(C6xS4) | 288,902 |
| C2.9(C6×S4) = C3×C4.6S4 | central stem extension (φ=1) | 48 | 2 | C2.9(C6xS4) | 288,903 |
| C2.10(C6×S4) = C3×C4.3S4 | central stem extension (φ=1) | 48 | 4 | C2.10(C6xS4) | 288,904 |
| C2.11(C6×S4) = C3×A4⋊D4 | central stem extension (φ=1) | 36 | 6 | C2.11(C6xS4) | 288,906 |