Extensions 1→N→G→Q→1 with N=C22 and Q=C52C16

Direct product G=N×Q with N=C22 and Q=C52C16
dρLabelID
C22×C52C16320C2^2xC5:2C16320,723

Semidirect products G=N:Q with N=C22 and Q=C52C16
extensionφ:Q→Aut NdρLabelID
C22⋊(C52C16) = C40.91D4φ: C52C16/C40C2 ⊆ Aut C22160C2^2:(C5:2C16)320,107

Non-split extensions G=N.Q with N=C22 and Q=C52C16
extensionφ:Q→Aut NdρLabelID
C22.(C52C16) = C80.9C4φ: C52C16/C40C2 ⊆ Aut C221602C2^2.(C5:2C16)320,57
C22.2(C52C16) = C2×C52C32central extension (φ=1)320C2^2.2(C5:2C16)320,56

׿
×
𝔽