| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×C32⋊A4 | 36 | C2^2xC3^2:A4 | 432,550 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C2×C32⋊A4) = C4×C32⋊A4 | central extension (φ=1) | 36 | 3 | C2.1(C2xC3^2:A4) | 432,333 |
| C2.2(C2×C32⋊A4) = C2×Q8⋊He3 | central stem extension (φ=1) | 144 | C2.2(C2xC3^2:A4) | 432,336 | |
| C2.3(C2×C32⋊A4) = C4○D4⋊He3 | central stem extension (φ=1) | 72 | 6 | C2.3(C2xC3^2:A4) | 432,339 |