Extensions 1→N→G→Q→1 with N=Q8 and Q=C5×Q8

Direct product G=N×Q with N=Q8 and Q=C5×Q8
dρLabelID
C5×Q82320C5xQ8^2320,1560

Semidirect products G=N:Q with N=Q8 and Q=C5×Q8
extensionφ:Q→Out NdρLabelID
Q81(C5×Q8) = C5×Q8⋊Q8φ: C5×Q8/C20C2 ⊆ Out Q8320Q8:1(C5xQ8)320,976
Q82(C5×Q8) = C5×C4.Q16φ: C5×Q8/C20C2 ⊆ Out Q8320Q8:2(C5xQ8)320,978
Q83(C5×Q8) = C5×Q83Q8φ: trivial image320Q8:3(C5xQ8)320,1559

Non-split extensions G=N.Q with N=Q8 and Q=C5×Q8
extensionφ:Q→Out NdρLabelID
Q8.(C5×Q8) = C5×Q8.Q8φ: C5×Q8/C20C2 ⊆ Out Q8320Q8.(C5xQ8)320,980

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