Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C20

Direct product G=N×Q with N=C4 and Q=C2×C20
dρLabelID
C2×C4×C20160C2xC4xC20160,175

Semidirect products G=N:Q with N=C4 and Q=C2×C20
extensionφ:Q→Aut NdρLabelID
C41(C2×C20) = D4×C20φ: C2×C20/C20C2 ⊆ Aut C480C4:1(C2xC20)160,179
C42(C2×C20) = C10×C4⋊C4φ: C2×C20/C2×C10C2 ⊆ Aut C4160C4:2(C2xC20)160,177

Non-split extensions G=N.Q with N=C4 and Q=C2×C20
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C20) = C5×D4⋊C4φ: C2×C20/C20C2 ⊆ Aut C480C4.1(C2xC20)160,52
C4.2(C2×C20) = C5×Q8⋊C4φ: C2×C20/C20C2 ⊆ Aut C4160C4.2(C2xC20)160,53
C4.3(C2×C20) = C5×C4≀C2φ: C2×C20/C20C2 ⊆ Aut C4402C4.3(C2xC20)160,54
C4.4(C2×C20) = Q8×C20φ: C2×C20/C20C2 ⊆ Aut C4160C4.4(C2xC20)160,180
C4.5(C2×C20) = C5×C8○D4φ: C2×C20/C20C2 ⊆ Aut C4802C4.5(C2xC20)160,192
C4.6(C2×C20) = C5×C4.Q8φ: C2×C20/C2×C10C2 ⊆ Aut C4160C4.6(C2xC20)160,56
C4.7(C2×C20) = C5×C2.D8φ: C2×C20/C2×C10C2 ⊆ Aut C4160C4.7(C2xC20)160,57
C4.8(C2×C20) = C5×C8.C4φ: C2×C20/C2×C10C2 ⊆ Aut C4802C4.8(C2xC20)160,58
C4.9(C2×C20) = C5×C42⋊C2φ: C2×C20/C2×C10C2 ⊆ Aut C480C4.9(C2xC20)160,178
C4.10(C2×C20) = C10×M4(2)φ: C2×C20/C2×C10C2 ⊆ Aut C480C4.10(C2xC20)160,191
C4.11(C2×C20) = C5×C8⋊C4central extension (φ=1)160C4.11(C2xC20)160,47
C4.12(C2×C20) = C5×M5(2)central extension (φ=1)802C4.12(C2xC20)160,60

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