Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C14

Direct product G=N×Q with N=C2×C10 and Q=C14
dρLabelID
C22×C70280C2^2xC70280,40

Semidirect products G=N:Q with N=C2×C10 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊1C14 = D4×C35φ: C14/C7C2 ⊆ Aut C2×C101402(C2xC10):1C14280,30
(C2×C10)⋊2C14 = C7×C5⋊D4φ: C14/C7C2 ⊆ Aut C2×C101402(C2xC10):2C14280,23
(C2×C10)⋊3C14 = D5×C2×C14φ: C14/C7C2 ⊆ Aut C2×C10140(C2xC10):3C14280,38

Non-split extensions G=N.Q with N=C2×C10 and Q=C14
extensionφ:Q→Aut NdρLabelID
(C2×C10).C14 = C14×Dic5φ: C14/C7C2 ⊆ Aut C2×C10280(C2xC10).C14280,22

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