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

Direct product G=NxQ with N=C4 and Q=C4.A4
dρLabelID
C4xC4.A464C4xC4.A4192,997

Semidirect products G=N:Q with N=C4 and Q=C4.A4
extensionφ:Q→Aut NdρLabelID
C4:(C4.A4) = SL2(F3):6D4φ: C4.A4/SL2(F3)C2 ⊆ Aut C464C4:(C4.A4)192,1005

Non-split extensions G=N.Q with N=C4 and Q=C4.A4
extensionφ:Q→Aut NdρLabelID
C4.(C4.A4) = SL2(F3):3Q8φ: C4.A4/SL2(F3)C2 ⊆ Aut C464C4.(C4.A4)192,1006
C4.2(C4.A4) = C8xSL2(F3)central extension (φ=1)64C4.2(C4.A4)192,200

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