Extensions 1→N→G→Q→1 with N=C22xA4 and Q=C6

Direct product G=NxQ with N=C22xA4 and Q=C6
dρLabelID
A4xC22xC672A4xC2^2xC6288,1041

Semidirect products G=N:Q with N=C22xA4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22xA4):C6 = A4xS4φ: C6/C1C6 ⊆ Out C22xA4169+(C2^2xA4):C6288,1024
(C22xA4):2C6 = C2xA42φ: C6/C2C3 ⊆ Out C22xA4189+(C2^2xA4):2C6288,1029
(C22xA4):3C6 = C3xD4xA4φ: C6/C3C2 ⊆ Out C22xA4366(C2^2xA4):3C6288,980
(C22xA4):4C6 = C3xA4:D4φ: C6/C3C2 ⊆ Out C22xA4366(C2^2xA4):4C6288,906
(C22xA4):5C6 = C2xC6xS4φ: C6/C3C2 ⊆ Out C22xA436(C2^2xA4):5C6288,1033

Non-split extensions G=N.Q with N=C22xA4 and Q=C6
extensionφ:Q→Out NdρLabelID
(C22xA4).C6 = C6xA4:C4φ: C6/C3C2 ⊆ Out C22xA472(C2^2xA4).C6288,905
(C22xA4).2C6 = A4xC2xC12φ: trivial image72(C2^2xA4).2C6288,979

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