| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C32⋊S4 | 18 | 3 | C2xC3^2:S4 | 432,538 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C32⋊S4) = C62⋊6Dic3 | central extension (φ=1) | 36 | 3 | C2.1(C3^2:S4) | 432,260 |
| C2.2(C32⋊S4) = C32⋊2CSU2(𝔽3) | central stem extension (φ=1) | 144 | 6 | C2.2(C3^2:S4) | 432,257 |
| C2.3(C32⋊S4) = C32⋊3GL2(𝔽3) | central stem extension (φ=1) | 72 | 6 | C2.3(C3^2:S4) | 432,258 |