Extensions 1→N→G→Q→1 with N=C4 and Q=C4xA4

Direct product G=NxQ with N=C4 and Q=C4xA4
dρLabelID
A4xC4248A4xC4^2192,993

Semidirect products G=N:Q with N=C4 and Q=C4xA4
extensionφ:Q→Aut NdρLabelID
C4:(C4xA4) = A4xC4:C4φ: C4xA4/C2xA4C2 ⊆ Aut C448C4:(C4xA4)192,995

Non-split extensions G=N.Q with N=C4 and Q=C4xA4
extensionφ:Q→Aut NdρLabelID
C4.1(C4xA4) = C4oD4:C12φ: C4xA4/C2xA4C2 ⊆ Aut C464C4.1(C4xA4)192,999
C4.2(C4xA4) = A4xM4(2)φ: C4xA4/C2xA4C2 ⊆ Aut C4246C4.2(C4xA4)192,1011
C4.3(C4xA4) = M4(2).A4φ: C4xA4/C2xA4C2 ⊆ Aut C4324C4.3(C4xA4)192,1013
C4.4(C4xA4) = A4xC16central extension (φ=1)483C4.4(C4xA4)192,203
C4.5(C4xA4) = C16.A4central extension (φ=1)642C4.5(C4xA4)192,204
C4.6(C4xA4) = C4xC4.A4central extension (φ=1)64C4.6(C4xA4)192,997
C4.7(C4xA4) = A4xC2xC8central extension (φ=1)48C4.7(C4xA4)192,1010
C4.8(C4xA4) = C2xC8.A4central extension (φ=1)64C4.8(C4xA4)192,1012

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