Extensions 1→N→G→Q→1 with N=C4 and Q=C3:C16

Direct product G=NxQ with N=C4 and Q=C3:C16
dρLabelID
C4xC3:C16192C4xC3:C16192,19

Semidirect products G=N:Q with N=C4 and Q=C3:C16
extensionφ:Q→Aut NdρLabelID
C4:(C3:C16) = C12:C16φ: C3:C16/C24C2 ⊆ Aut C4192C4:(C3:C16)192,21

Non-split extensions G=N.Q with N=C4 and Q=C3:C16
extensionφ:Q→Aut NdρLabelID
C4.(C3:C16) = C3:M6(2)φ: C3:C16/C24C2 ⊆ Aut C4962C4.(C3:C16)192,58
C4.2(C3:C16) = C3:C64central extension (φ=1)1922C4.2(C3:C16)192,1
C4.3(C3:C16) = C2xC3:C32central extension (φ=1)192C4.3(C3:C16)192,57

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