Extensions 1→N→G→Q→1 with N=Q8 and Q=C5xA4

Direct product G=NxQ with N=Q8 and Q=C5xA4
dρLabelID
C5xQ8xA41206C5xQ8xA4480,1129

Semidirect products G=N:Q with N=Q8 and Q=C5xA4
extensionφ:Q→Out NdρLabelID
Q8:1(C5xA4) = C5xQ8:A4φ: C5xA4/C2xC10C3 ⊆ Out Q81206Q8:1(C5xA4)480,1133
Q8:2(C5xA4) = C5xC23:A4φ: C5xA4/C2xC10C3 ⊆ Out Q8404Q8:2(C5xA4)480,1134

Non-split extensions G=N.Q with N=Q8 and Q=C5xA4
extensionφ:Q→Out NdρLabelID
Q8.(C5xA4) = C5xQ8.A4φ: trivial image1204Q8.(C5xA4)480,1131

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