Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C40

Direct product G=N×Q with N=C22 and Q=C2×C40
dρLabelID
C23×C40320C2^3xC40320,1567

Semidirect products G=N:Q with N=C22 and Q=C2×C40
extensionφ:Q→Aut NdρLabelID
C221(C2×C40) = D4×C40φ: C2×C40/C40C2 ⊆ Aut C22160C2^2:1(C2xC40)320,935
C222(C2×C40) = C10×C22⋊C8φ: C2×C40/C2×C20C2 ⊆ Aut C22160C2^2:2(C2xC40)320,907

Non-split extensions G=N.Q with N=C22 and Q=C2×C40
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C40) = C5×D4○C16φ: C2×C40/C40C2 ⊆ Aut C221602C2^2.1(C2xC40)320,1005
C22.2(C2×C40) = C5×C23⋊C8φ: C2×C40/C2×C20C2 ⊆ Aut C2280C2^2.2(C2xC40)320,128
C22.3(C2×C40) = C5×C22.M4(2)φ: C2×C40/C2×C20C2 ⊆ Aut C22160C2^2.3(C2xC40)320,129
C22.4(C2×C40) = C5×C23.C8φ: C2×C40/C2×C20C2 ⊆ Aut C22804C2^2.4(C2xC40)320,154
C22.5(C2×C40) = C5×C42.12C4φ: C2×C40/C2×C20C2 ⊆ Aut C22160C2^2.5(C2xC40)320,932
C22.6(C2×C40) = C10×M5(2)φ: C2×C40/C2×C20C2 ⊆ Aut C22160C2^2.6(C2xC40)320,1004
C22.7(C2×C40) = C5×C22.7C42central extension (φ=1)320C2^2.7(C2xC40)320,141
C22.8(C2×C40) = C5×C165C4central extension (φ=1)320C2^2.8(C2xC40)320,151
C22.9(C2×C40) = C5×C22⋊C16central extension (φ=1)160C2^2.9(C2xC40)320,153
C22.10(C2×C40) = C5×C4⋊C16central extension (φ=1)320C2^2.10(C2xC40)320,168
C22.11(C2×C40) = C10×C4⋊C8central extension (φ=1)320C2^2.11(C2xC40)320,923

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