| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(A4⋊C4) = C23.9S4 | φ: A4⋊C4/C23 → S3 ⊆ Aut C22 | 12 | 3 | C2^2.1(A4:C4) | 192,182 |
| C22.2(A4⋊C4) = C24⋊Dic3 | φ: A4⋊C4/C23 → S3 ⊆ Aut C22 | 16 | 12+ | C2^2.2(A4:C4) | 192,184 |
| C22.3(A4⋊C4) = C42⋊Dic3 | φ: A4⋊C4/C23 → S3 ⊆ Aut C22 | 16 | 12+ | C2^2.3(A4:C4) | 192,185 |
| C22.4(A4⋊C4) = A4⋊M4(2) | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C22 | 24 | 6 | C2^2.4(A4:C4) | 192,968 |
| C22.5(A4⋊C4) = C23.15S4 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C22 | 32 | | C2^2.5(A4:C4) | 192,979 |
| C22.6(A4⋊C4) = U2(𝔽3)⋊C2 | φ: A4⋊C4/C2×A4 → C2 ⊆ Aut C22 | 32 | 4 | C2^2.6(A4:C4) | 192,982 |
| C22.7(A4⋊C4) = C2.U2(𝔽3) | central extension (φ=1) | 64 | | C2^2.7(A4:C4) | 192,183 |
| C22.8(A4⋊C4) = C2×A4⋊C8 | central extension (φ=1) | 48 | | C2^2.8(A4:C4) | 192,967 |
| C22.9(A4⋊C4) = C2×Q8⋊Dic3 | central extension (φ=1) | 64 | | C2^2.9(A4:C4) | 192,977 |
| C22.10(A4⋊C4) = C2×U2(𝔽3) | central extension (φ=1) | 48 | | C2^2.10(A4:C4) | 192,981 |