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

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

Semidirect products G=N:Q with N=C4 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C4⋊(A4⋊C4) = C24.4D6φ: A4⋊C4/C2×A4C2 ⊆ Aut C448C4:(A4:C4)192,971

Non-split extensions G=N.Q with N=C4 and Q=A4⋊C4
extensionφ:Q→Aut NdρLabelID
C4.1(A4⋊C4) = A4⋊M4(2)φ: A4⋊C4/C2×A4C2 ⊆ Aut C4246C4.1(A4:C4)192,968
C4.2(A4⋊C4) = U2(𝔽3)⋊C2φ: A4⋊C4/C2×A4C2 ⊆ Aut C4324C4.2(A4:C4)192,982
C4.3(A4⋊C4) = (C2×C4).S4φ: A4⋊C4/C2×A4C2 ⊆ Aut C464C4.3(A4:C4)192,985
C4.4(A4⋊C4) = A4⋊C16central extension (φ=1)483C4.4(A4:C4)192,186
C4.5(A4⋊C4) = C8.7S4central extension (φ=1)642C4.5(A4:C4)192,187
C4.6(A4⋊C4) = C2×A4⋊C8central extension (φ=1)48C4.6(A4:C4)192,967
C4.7(A4⋊C4) = C2×U2(𝔽3)central extension (φ=1)48C4.7(A4:C4)192,981
C4.8(A4⋊C4) = C4.A4⋊C4central extension (φ=1)64C4.8(A4:C4)192,983