| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C3×C6×S4 | 54 | C3xC6xS4 | 432,760 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C32×S4) = C32×A4⋊C4 | central extension (φ=1) | 108 | C2.1(C3^2xS4) | 432,615 | |
| C2.2(C32×S4) = C32×CSU2(𝔽3) | central stem extension (φ=1) | 144 | C2.2(C3^2xS4) | 432,613 | |
| C2.3(C32×S4) = C32×GL2(𝔽3) | central stem extension (φ=1) | 72 | C2.3(C3^2xS4) | 432,614 |