| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C32⋊4S4 | 54 | C2xC3^2:4S4 | 432,762 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C32⋊4S4) = C62⋊10Dic3 | central extension (φ=1) | 108 | C2.1(C3^2:4S4) | 432,621 | |
| C2.2(C32⋊4S4) = C32⋊4CSU2(𝔽3) | central stem extension (φ=1) | 144 | C2.2(C3^2:4S4) | 432,619 | |
| C2.3(C32⋊4S4) = C32⋊5GL2(𝔽3) | central stem extension (φ=1) | 72 | C2.3(C3^2:4S4) | 432,620 |