Extensions 1→N→G→Q→1 with N=C22 and Q=C4×C20

Direct product G=N×Q with N=C22 and Q=C4×C20

Semidirect products G=N:Q with N=C22 and Q=C4×C20
extensionφ:Q→Aut NdρLabelID
C22⋊(C4×C20) = C22⋊C4×C20φ: C4×C20/C2×C20C2 ⊆ Aut C22160C2^2:(C4xC20)320,878

Non-split extensions G=N.Q with N=C22 and Q=C4×C20
extensionφ:Q→Aut NdρLabelID
C22.1(C4×C20) = C5×C23.9D4φ: C4×C20/C2×C20C2 ⊆ Aut C2280C2^2.1(C4xC20)320,147
C22.2(C4×C20) = C5×C22.C42φ: C4×C20/C2×C20C2 ⊆ Aut C22160C2^2.2(C4xC20)320,148
C22.3(C4×C20) = C5×M4(2)⋊4C4φ: C4×C20/C2×C20C2 ⊆ Aut C22804C2^2.3(C4xC20)320,149
C22.4(C4×C20) = M4(2)×C20φ: C4×C20/C2×C20C2 ⊆ Aut C22160C2^2.4(C4xC20)320,905
C22.5(C4×C20) = C5×C82M4(2)φ: C4×C20/C2×C20C2 ⊆ Aut C22160C2^2.5(C4xC20)320,906
C22.6(C4×C20) = C5×C8⋊C8central extension (φ=1)320C2^2.6(C4xC20)320,127
C22.7(C4×C20) = C5×C22.7C42central extension (φ=1)320C2^2.7(C4xC20)320,141
C22.8(C4×C20) = C10×C2.C42central extension (φ=1)320C2^2.8(C4xC20)320,876
C22.9(C4×C20) = C10×C8⋊C4central extension (φ=1)320C2^2.9(C4xC20)320,904