Extensions 1→N→G→Q→1 with N=C2xC7:C3 and Q=C10

Direct product G=NxQ with N=C2xC7:C3 and Q=C10
dρLabelID
C2xC10xC7:C3140C2xC10xC7:C3420,31

Semidirect products G=N:Q with N=C2xC7:C3 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xC7:C3):C10 = C10xF7φ: C10/C5C2 ⊆ Out C2xC7:C3706(C2xC7:C3):C10420,17

Non-split extensions G=N.Q with N=C2xC7:C3 and Q=C10
extensionφ:Q→Out NdρLabelID
(C2xC7:C3).C10 = C5xC7:C12φ: C10/C5C2 ⊆ Out C2xC7:C31406(C2xC7:C3).C10420,1
(C2xC7:C3).2C10 = C20xC7:C3φ: trivial image1403(C2xC7:C3).2C10420,4

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