Extensions 1→N→G→Q→1 with N=C22 and Q=C5:C16

Direct product G=NxQ with N=C22 and Q=C5:C16
dρLabelID
C22xC5:C16320C2^2xC5:C16320,1080

Semidirect products G=N:Q with N=C22 and Q=C5:C16
extensionφ:Q→Aut NdρLabelID
C22:(C5:C16) = C10.6M5(2)φ: C5:C16/C5:2C8C2 ⊆ Aut C22160C2^2:(C5:C16)320,249

Non-split extensions G=N.Q with N=C22 and Q=C5:C16
extensionφ:Q→Aut NdρLabelID
C22.(C5:C16) = C5:M6(2)φ: C5:C16/C5:2C8C2 ⊆ Aut C221604C2^2.(C5:C16)320,215
C22.2(C5:C16) = C2xC5:C32central extension (φ=1)320C2^2.2(C5:C16)320,214

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