Extensions 1→N→G→Q→1 with N=C20 and Q=C16

Direct product G=NxQ with N=C20 and Q=C16
dρLabelID
C4xC80320C4xC80320,150

Semidirect products G=N:Q with N=C20 and Q=C16
extensionφ:Q→Aut NdρLabelID
C20:1C16 = C20:C16φ: C16/C4C4 ⊆ Aut C20320C20:1C16320,196
C20:2C16 = C4xC5:C16φ: C16/C4C4 ⊆ Aut C20320C20:2C16320,195
C20:3C16 = C20:3C16φ: C16/C8C2 ⊆ Aut C20320C20:3C16320,20
C20:4C16 = C4xC5:2C16φ: C16/C8C2 ⊆ Aut C20320C20:4C16320,18
C20:5C16 = C5xC4:C16φ: C16/C8C2 ⊆ Aut C20320C20:5C16320,168

Non-split extensions G=N.Q with N=C20 and Q=C16
extensionφ:Q→Aut NdρLabelID
C20.1C16 = C5:M6(2)φ: C16/C4C4 ⊆ Aut C201604C20.1C16320,215
C20.2C16 = C5:C64φ: C16/C4C4 ⊆ Aut C203204C20.2C16320,3
C20.3C16 = C2xC5:C32φ: C16/C4C4 ⊆ Aut C20320C20.3C16320,214
C20.4C16 = C80.9C4φ: C16/C8C2 ⊆ Aut C201602C20.4C16320,57
C20.5C16 = C5:2C64φ: C16/C8C2 ⊆ Aut C203202C20.5C16320,1
C20.6C16 = C2xC5:2C32φ: C16/C8C2 ⊆ Aut C20320C20.6C16320,56
C20.7C16 = C5xM6(2)φ: C16/C8C2 ⊆ Aut C201602C20.7C16320,175

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