| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C2×C6×S4 | 36 | C2xC6xS4 | 288,1033 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊(C3×S4) = C3×C22⋊S4 | φ: C3×S4/C2×C6 → S3 ⊆ Aut C22 | 24 | 6 | C2^2:(C3xS4) | 288,1035 |
| C22⋊2(C3×S4) = A4×S4 | φ: C3×S4/S4 → C3 ⊆ Aut C22 | 16 | 9+ | C2^2:2(C3xS4) | 288,1024 |
| C22⋊3(C3×S4) = C3×A4⋊D4 | φ: C3×S4/C3×A4 → C2 ⊆ Aut C22 | 36 | 6 | C2^2:3(C3xS4) | 288,906 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.(C3×S4) = C3×C42⋊S3 | φ: C3×S4/C2×C6 → S3 ⊆ Aut C22 | 36 | 3 | C2^2.(C3xS4) | 288,397 |
| C22.2(C3×S4) = C3×Q8.D6 | φ: C3×S4/C3×A4 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.2(C3xS4) | 288,901 |
| C22.3(C3×S4) = C3×Q8⋊Dic3 | central extension (φ=1) | 96 | C2^2.3(C3xS4) | 288,399 | |
| C22.4(C3×S4) = C6×CSU2(𝔽3) | central extension (φ=1) | 96 | C2^2.4(C3xS4) | 288,899 | |
| C22.5(C3×S4) = C6×GL2(𝔽3) | central extension (φ=1) | 48 | C2^2.5(C3xS4) | 288,900 | |
| C22.6(C3×S4) = C6×A4⋊C4 | central extension (φ=1) | 72 | C2^2.6(C3xS4) | 288,905 |