Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C40

Direct product G=N×Q with N=C4 and Q=C2×C40
dρLabelID
C2×C4×C40320C2xC4xC40320,903

Semidirect products G=N:Q with N=C4 and Q=C2×C40
extensionφ:Q→Aut NdρLabelID
C41(C2×C40) = D4×C40φ: C2×C40/C40C2 ⊆ Aut C4160C4:1(C2xC40)320,935
C42(C2×C40) = C10×C4⋊C8φ: C2×C40/C2×C20C2 ⊆ Aut C4320C4:2(C2xC40)320,923

Non-split extensions G=N.Q with N=C4 and Q=C2×C40
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C40) = C5×D4⋊C8φ: C2×C40/C40C2 ⊆ Aut C4160C4.1(C2xC40)320,130
C4.2(C2×C40) = C5×Q8⋊C8φ: C2×C40/C40C2 ⊆ Aut C4320C4.2(C2xC40)320,131
C4.3(C2×C40) = C5×D4.C8φ: C2×C40/C40C2 ⊆ Aut C41602C4.3(C2xC40)320,155
C4.4(C2×C40) = Q8×C40φ: C2×C40/C40C2 ⊆ Aut C4320C4.4(C2xC40)320,946
C4.5(C2×C40) = C5×D4○C16φ: C2×C40/C40C2 ⊆ Aut C41602C4.5(C2xC40)320,1005
C4.6(C2×C40) = C5×C82C8φ: C2×C40/C2×C20C2 ⊆ Aut C4320C4.6(C2xC40)320,139
C4.7(C2×C40) = C5×C81C8φ: C2×C40/C2×C20C2 ⊆ Aut C4320C4.7(C2xC40)320,140
C4.8(C2×C40) = C5×C8.C8φ: C2×C40/C2×C20C2 ⊆ Aut C4802C4.8(C2xC40)320,169
C4.9(C2×C40) = C5×C42.12C4φ: C2×C40/C2×C20C2 ⊆ Aut C4160C4.9(C2xC40)320,932
C4.10(C2×C40) = C10×M5(2)φ: C2×C40/C2×C20C2 ⊆ Aut C4160C4.10(C2xC40)320,1004
C4.11(C2×C40) = C5×C8⋊C8central extension (φ=1)320C4.11(C2xC40)320,127
C4.12(C2×C40) = C5×C165C4central extension (φ=1)320C4.12(C2xC40)320,151
C4.13(C2×C40) = C5×M6(2)central extension (φ=1)1602C4.13(C2xC40)320,175

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