Extensions 1→N→G→Q→1 with N=C22xC7:C3 and Q=C2

Direct product G=NxQ with N=C22xC7:C3 and Q=C2
dρLabelID
C23xC7:C356C2^3xC7:C3168,51

Semidirect products G=N:Q with N=C22xC7:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC7:C3):1C2 = Dic7:C6φ: C2/C1C2 ⊆ Out C22xC7:C3286(C2^2xC7:C3):1C2168,11
(C22xC7:C3):2C2 = C22xF7φ: C2/C1C2 ⊆ Out C22xC7:C328(C2^2xC7:C3):2C2168,47
(C22xC7:C3):3C2 = D4xC7:C3φ: C2/C1C2 ⊆ Out C22xC7:C3286(C2^2xC7:C3):3C2168,20

Non-split extensions G=N.Q with N=C22xC7:C3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC7:C3).C2 = C2xC7:C12φ: C2/C1C2 ⊆ Out C22xC7:C356(C2^2xC7:C3).C2168,10
(C22xC7:C3).2C2 = C2xC4xC7:C3φ: trivial image56(C2^2xC7:C3).2C2168,19

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