Extensions 1→N→G→Q→1 with N=C20 and Q=C2

Direct product G=NxQ with N=C20 and Q=C2
dρLabelID
C2xC2040C2xC2040,9

Semidirect products G=N:Q with N=C20 and Q=C2
extensionφ:Q→Aut NdρLabelID
C20:1C2 = D20φ: C2/C1C2 ⊆ Aut C20202+C20:1C240,6
C20:2C2 = C4xD5φ: C2/C1C2 ⊆ Aut C20202C20:2C240,5
C20:3C2 = C5xD4φ: C2/C1C2 ⊆ Aut C20202C20:3C240,10

Non-split extensions G=N.Q with N=C20 and Q=C2
extensionφ:Q→Aut NdρLabelID
C20.1C2 = Dic10φ: C2/C1C2 ⊆ Aut C20402-C20.1C240,4
C20.2C2 = C5:2C8φ: C2/C1C2 ⊆ Aut C20402C20.2C240,1
C20.3C2 = C5xQ8φ: C2/C1C2 ⊆ Aut C20402C20.3C240,11

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