Extensions 1→N→G→Q→1 with N=C70 and Q=C2

Direct product G=N×Q with N=C70 and Q=C2
dρLabelID
C2×C70140C2xC70140,11

Semidirect products G=N:Q with N=C70 and Q=C2
extensionφ:Q→Aut NdρLabelID
C701C2 = D70φ: C2/C1C2 ⊆ Aut C70702+C70:1C2140,10
C702C2 = C10×D7φ: C2/C1C2 ⊆ Aut C70702C70:2C2140,8
C703C2 = D5×C14φ: C2/C1C2 ⊆ Aut C70702C70:3C2140,9

Non-split extensions G=N.Q with N=C70 and Q=C2
extensionφ:Q→Aut NdρLabelID
C70.1C2 = Dic35φ: C2/C1C2 ⊆ Aut C701402-C70.1C2140,3
C70.2C2 = C5×Dic7φ: C2/C1C2 ⊆ Aut C701402C70.2C2140,2
C70.3C2 = C7×Dic5φ: C2/C1C2 ⊆ Aut C701402C70.3C2140,1

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