Extensions 1→N→G→Q→1 with N=C4 and Q=C52C16

Direct product G=N×Q with N=C4 and Q=C52C16
dρLabelID
C4×C52C16320C4xC5:2C16320,18

Semidirect products G=N:Q with N=C4 and Q=C52C16
extensionφ:Q→Aut NdρLabelID
C4⋊(C52C16) = C203C16φ: C52C16/C40C2 ⊆ Aut C4320C4:(C5:2C16)320,20

Non-split extensions G=N.Q with N=C4 and Q=C52C16
extensionφ:Q→Aut NdρLabelID
C4.(C52C16) = C80.9C4φ: C52C16/C40C2 ⊆ Aut C41602C4.(C5:2C16)320,57
C4.2(C52C16) = C52C64central extension (φ=1)3202C4.2(C5:2C16)320,1
C4.3(C52C16) = C2×C52C32central extension (φ=1)320C4.3(C5:2C16)320,56

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