Extensions 1→N→G→Q→1 with N=D6 and Q=C2xA4

Direct product G=NxQ with N=D6 and Q=C2xA4
dρLabelID
C22xS3xA436C2^2xS3xA4288,1037

Semidirect products G=N:Q with N=D6 and Q=C2xA4
extensionφ:Q→Out NdρLabelID
D6:1(C2xA4) = A4xD12φ: C2xA4/A4C2 ⊆ Out D6366+D6:1(C2xA4)288,920
D6:2(C2xA4) = A4xC3:D4φ: C2xA4/A4C2 ⊆ Out D6366D6:2(C2xA4)288,928

Non-split extensions G=N.Q with N=D6 and Q=C2xA4
extensionφ:Q→Out NdρLabelID
D6.1(C2xA4) = SL2(F3).11D6φ: C2xA4/A4C2 ⊆ Out D6484D6.1(C2xA4)288,923
D6.2(C2xA4) = D12.A4φ: C2xA4/A4C2 ⊆ Out D6484-D6.2(C2xA4)288,926
D6.3(C2xA4) = C4xS3xA4φ: trivial image366D6.3(C2xA4)288,919
D6.4(C2xA4) = C2xS3xSL2(F3)φ: trivial image48D6.4(C2xA4)288,922
D6.5(C2xA4) = S3xC4.A4φ: trivial image484D6.5(C2xA4)288,925

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