Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C22

Direct product G=NxQ with N=C2xC6 and Q=C22
dρLabelID
C22xC66264C2^2xC66264,39

Semidirect products G=N:Q with N=C2xC6 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2xC6):1C22 = D4xC33φ: C22/C11C2 ⊆ Aut C2xC61322(C2xC6):1C22264,29
(C2xC6):2C22 = C11xC3:D4φ: C22/C11C2 ⊆ Aut C2xC61322(C2xC6):2C22264,22
(C2xC6):3C22 = S3xC2xC22φ: C22/C11C2 ⊆ Aut C2xC6132(C2xC6):3C22264,37

Non-split extensions G=N.Q with N=C2xC6 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C2xC6).C22 = Dic3xC22φ: C22/C11C2 ⊆ Aut C2xC6264(C2xC6).C22264,21

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