Extensions 1→N→G→Q→1 with N=D4 and Q=C52C8

Direct product G=N×Q with N=D4 and Q=C52C8
dρLabelID
D4×C52C8160D4xC5:2C8320,637

Semidirect products G=N:Q with N=D4 and Q=C52C8
extensionφ:Q→Out NdρLabelID
D4⋊(C52C8) = C20.57D8φ: C52C8/C20C2 ⊆ Out D4160D4:(C5:2C8)320,92

Non-split extensions G=N.Q with N=D4 and Q=C52C8
extensionφ:Q→Out NdρLabelID
D4.(C52C8) = C40.92D4φ: C52C8/C20C2 ⊆ Out D41604D4.(C5:2C8)320,119
D4.2(C52C8) = C40.70C23φ: trivial image1604D4.2(C5:2C8)320,767

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