Extensions 1→N→G→Q→1 with N=C22 and Q=A4⋊C4

Direct product G=N×Q with N=C22 and Q=A4⋊C4

Semidirect products G=N:Q with N=C22 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊(A4⋊C4) = C244Dic3φ: A4⋊C4/C23S3 ⊆ Aut C22126+C2^2:(A4:C4)192,1495
C222(A4⋊C4) = C25.S3φ: A4⋊C4/C2×A4C2 ⊆ Aut C2224C2^2:2(A4:C4)192,991

Non-split extensions G=N.Q with N=C22 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(A4⋊C4) = C23.9S4φ: A4⋊C4/C23S3 ⊆ Aut C22123C2^2.1(A4:C4)192,182
C22.2(A4⋊C4) = C24⋊Dic3φ: A4⋊C4/C23S3 ⊆ Aut C221612+C2^2.2(A4:C4)192,184
C22.3(A4⋊C4) = C42⋊Dic3φ: A4⋊C4/C23S3 ⊆ Aut C221612+C2^2.3(A4:C4)192,185
C22.4(A4⋊C4) = A4⋊M4(2)φ: A4⋊C4/C2×A4C2 ⊆ Aut C22246C2^2.4(A4:C4)192,968
C22.5(A4⋊C4) = C23.15S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C2232C2^2.5(A4:C4)192,979
C22.6(A4⋊C4) = U2(𝔽3)⋊C2φ: A4⋊C4/C2×A4C2 ⊆ Aut C22324C2^2.6(A4:C4)192,982
C22.7(A4⋊C4) = C2.U2(𝔽3)central extension (φ=1)64C2^2.7(A4:C4)192,183
C22.8(A4⋊C4) = C2×A4⋊C8central extension (φ=1)48C2^2.8(A4:C4)192,967
C22.9(A4⋊C4) = C2×Q8⋊Dic3central extension (φ=1)64C2^2.9(A4:C4)192,977
C22.10(A4⋊C4) = C2×U2(𝔽3)central extension (φ=1)48C2^2.10(A4:C4)192,981