| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| A4×C22×C6 | 72 | A4xC2^2xC6 | 288,1041 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22⋊1(C6×A4) = C2×A42 | φ: C6×A4/C2×A4 → C3 ⊆ Aut C22 | 18 | 9+ | C2^2:1(C6xA4) | 288,1029 |
| C22⋊2(C6×A4) = C6×C22⋊A4 | φ: C6×A4/C22×C6 → C3 ⊆ Aut C22 | 36 | C2^2:2(C6xA4) | 288,1042 | |
| C22⋊3(C6×A4) = C3×D4×A4 | φ: C6×A4/C3×A4 → C2 ⊆ Aut C22 | 36 | 6 | C2^2:3(C6xA4) | 288,980 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C22.1(C6×A4) = C6×C42⋊C3 | φ: C6×A4/C22×C6 → C3 ⊆ Aut C22 | 36 | 3 | C2^2.1(C6xA4) | 288,632 |
| C22.2(C6×A4) = C3×C24⋊C6 | φ: C6×A4/C22×C6 → C3 ⊆ Aut C22 | 24 | 6 | C2^2.2(C6xA4) | 288,634 |
| C22.3(C6×A4) = C3×C42⋊C6 | φ: C6×A4/C22×C6 → C3 ⊆ Aut C22 | 48 | 6 | C2^2.3(C6xA4) | 288,635 |
| C22.4(C6×A4) = C3×C23.A4 | φ: C6×A4/C22×C6 → C3 ⊆ Aut C22 | 36 | 6 | C2^2.4(C6xA4) | 288,636 |
| C22.5(C6×A4) = C3×D4.A4 | φ: C6×A4/C3×A4 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.5(C6xA4) | 288,985 |
| C22.6(C6×A4) = C12×SL2(𝔽3) | central extension (φ=1) | 96 | C2^2.6(C6xA4) | 288,633 | |
| C22.7(C6×A4) = A4×C2×C12 | central extension (φ=1) | 72 | C2^2.7(C6xA4) | 288,979 | |
| C22.8(C6×A4) = C2×C6×SL2(𝔽3) | central extension (φ=1) | 96 | C2^2.8(C6xA4) | 288,981 | |
| C22.9(C6×A4) = C6×C4.A4 | central extension (φ=1) | 96 | C2^2.9(C6xA4) | 288,983 |