Extensions 1→N→G→Q→1 with N=C2xC7:C3 and Q=D5

Direct product G=NxQ with N=C2xC7:C3 and Q=D5
dρLabelID
C2xD5xC7:C3706C2xD5xC7:C3420,18

Semidirect products G=N:Q with N=C2xC7:C3 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xC7:C3):D5 = C2xC5:F7φ: D5/C5C2 ⊆ Out C2xC7:C3706+(C2xC7:C3):D5420,19

Non-split extensions G=N.Q with N=C2xC7:C3 and Q=D5
extensionφ:Q→Out NdρLabelID
(C2xC7:C3).D5 = C35:3C12φ: D5/C5C2 ⊆ Out C2xC7:C31406-(C2xC7:C3).D5420,3
(C2xC7:C3).2D5 = Dic5xC7:C3φ: trivial image1406(C2xC7:C3).2D5420,2

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