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Extensions 1→N→G→Q→1 with N=C22 and Q=C5:Q16

Direct product G=NxQ with N=C22 and Q=C5:Q16
dρLabelID
C22xC5:Q16320C2^2xC5:Q16320,1481

Semidirect products G=N:Q with N=C22 and Q=C5:Q16
extensionφ:Q→Aut NdρLabelID
C22:1(C5:Q16) = (C2xC10):Q16φ: C5:Q16/C5:2C8 → C2 ⊆ Aut C22160C2^2:1(C5:Q16)320,678
C22:2(C5:Q16) = Dic10.37D4φ: C5:Q16/Dic10 → C2 ⊆ Aut C22160C2^2:2(C5:Q16)320,677
C22:3(C5:Q16) = (C2xC10):8Q16φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C22160C2^2:3(C5:Q16)320,855

Non-split extensions G=N.Q with N=C22 and Q=C5:Q16
extensionφ:Q→Aut NdρLabelID
C22.1(C5:Q16) = C40.7Q8φ: C5:Q16/C5:2C8 → C2 ⊆ Aut C221604C2^2.1(C5:Q16)320,51
C22.2(C5:Q16) = C10.29C4wrC2φ: C5:Q16/Dic10 → C2 ⊆ Aut C2280C2^2.2(C5:Q16)320,96
C22.3(C5:Q16) = (C2xC10).Q16φ: C5:Q16/Dic10 → C2 ⊆ Aut C22160C2^2.3(C5:Q16)320,671
C22.4(C5:Q16) = C4:Dic5:C4φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C2280C2^2.4(C5:Q16)320,10
C22.5(C5:Q16) = C4:C4.230D10φ: C5:Q16/C5xQ8 → C2 ⊆ Aut C22160C2^2.5(C5:Q16)320,597
C22.6(C5:Q16) = C20.31C42central extension (φ=1)320C2^2.6(C5:Q16)320,87
C22.7(C5:Q16) = C2xC10.D8central extension (φ=1)320C2^2.7(C5:Q16)320,589
C22.8(C5:Q16) = C2xC10.Q16central extension (φ=1)320C2^2.8(C5:Q16)320,596
C22.9(C5:Q16) = C2xQ8:Dic5central extension (φ=1)320C2^2.9(C5:Q16)320,851

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