| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C22×C22⋊A4 | 12 | C2^2xC2^2:A4 | 192,1540 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C2.1(C2×C22⋊A4) = C4×C22⋊A4 | central extension (φ=1) | 24 | C2.1(C2xC2^2:A4) | 192,1505 | |
| C2.2(C2×C22⋊A4) = C2×Q8⋊A4 | central stem extension (φ=1) | 48 | C2.2(C2xC2^2:A4) | 192,1506 | |
| C2.3(C2×C22⋊A4) = C4○D4⋊A4 | central stem extension (φ=1) | 24 | 6 | C2.3(C2xC2^2:A4) | 192,1507 |
| C2.4(C2×C22⋊A4) = C2×C23⋊A4 | central stem extension (φ=1) | 16 | C2.4(C2xC2^2:A4) | 192,1508 | |
| C2.5(C2×C22⋊A4) = 2+ 1+4.3C6 | central stem extension (φ=1) | 16 | 4 | C2.5(C2xC2^2:A4) | 192,1509 |