Extensions 1→N→G→Q→1 with N=C5 and Q=C4×C16

Direct product G=N×Q with N=C5 and Q=C4×C16
dρLabelID
C4×C80320C4xC80320,150

Semidirect products G=N:Q with N=C5 and Q=C4×C16
extensionφ:Q→Aut NdρLabelID
C51(C4×C16) = C16×F5φ: C4×C16/C16C4 ⊆ Aut C5804C5:1(C4xC16)320,181
C52(C4×C16) = C4×C5⋊C16φ: C4×C16/C42C4 ⊆ Aut C5320C5:2(C4xC16)320,195
C53(C4×C16) = Dic5⋊C16φ: C4×C16/C2×C8C4 ⊆ Aut C5320C5:3(C4xC16)320,223
C54(C4×C16) = C4×C52C16φ: C4×C16/C4×C8C2 ⊆ Aut C5320C5:4(C4xC16)320,18
C55(C4×C16) = C16×Dic5φ: C4×C16/C2×C16C2 ⊆ Aut C5320C5:5(C4xC16)320,58


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