Extensions 1→N→G→Q→1 with N=C2xC14 and Q=C10

Direct product G=NxQ with N=C2xC14 and Q=C10
dρLabelID
C22xC70280C2^2xC70280,40

Semidirect products G=N:Q with N=C2xC14 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC14):1C10 = D4xC35φ: C10/C5C2 ⊆ Aut C2xC141402(C2xC14):1C10280,30
(C2xC14):2C10 = C5xC7:D4φ: C10/C5C2 ⊆ Aut C2xC141402(C2xC14):2C10280,18
(C2xC14):3C10 = D7xC2xC10φ: C10/C5C2 ⊆ Aut C2xC14140(C2xC14):3C10280,37

Non-split extensions G=N.Q with N=C2xC14 and Q=C10
extensionφ:Q→Aut NdρLabelID
(C2xC14).C10 = C10xDic7φ: C10/C5C2 ⊆ Aut C2xC14280(C2xC14).C10280,17

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